diff --git a/Makefile b/Makefile
index da035dc..ec9a0e4 100644
--- a/Makefile
+++ b/Makefile
@@ -44,8 +44,10 @@ SRCS          = main.c \
 				reducer.c \
 				solver.c \
 				errors.c \
-				printer.c \
-				print_enums.c
+				printer_equation.c \
+				printer_solutions.c \
+				print_enums.c \
+				print_debug.c
 
 # COMPILATION CONFIG :
 CC            = gcc
@@ -149,6 +151,8 @@ run: $(NAME)
 	-./$(NAME) $(RUN_FLAGS) "3x^2"
 	@echo $(B_PURPLE)"\n---------------------------------------------\n23. degree 2 \n"$(RESET)
 	-./$(NAME) $(RUN_FLAGS) "3x^2 = 0"
+	@echo $(B_PURPLE)"\n---------------------------------------------\n23. degree 2 \n"$(RESET)
+	-./$(NAME) $(RUN_FLAGS) "3x^2 + 2 = 0"
 clean:
 	$(RM_OBJS)
 
diff --git a/README.md b/README.md
index bc5ad56..0e5c36e 100644
--- a/README.md
+++ b/README.md
@@ -2,9 +2,10 @@
 
 ## todo
 
-- change "compputorv1" to "computor"
+- fix error if b is 0 (b takes the value of c instead)
 - doing gcd for int values, and not for double values
 - double is nearly_equal_0
+- if no "=" sign return error
 
 
 ## ressources
@@ -75,8 +76,6 @@ this project uses submodules (maybe recursively), so either :
         - delta_sqrt;              // √|Δ|
         - first_term;              // double (-b / 2a)
         - second_term;             // double (√|Δ| / 2a)
-        - double solution1;        // first_term + second_term || -b / 2a + √|Δ| * i / 2a
-        - double solution2;        // first_term - second_term || -b / 2a - √|Δ| * i / 2a
 6. print solution
 
 ---
diff --git a/headers/computorv1.h b/headers/computorv1.h
index 2e1b035..bcb9766 100644
--- a/headers/computorv1.h
+++ b/headers/computorv1.h
@@ -138,8 +138,6 @@ typedef struct
     double delta_sqrt;       // √|Δ|
     double first_term;       // double (-b / 2a)
     double second_term;      // double (√|Δ| / 2a)
-    double solution1;        //                     || first_term + second_term || first_term + i * second_term
-    double solution2;        // (not if DELTA_ZERO) || first_term - second_term || first_term - i * second_term
 } s_solution_degree_2;
 
 typedef struct
@@ -172,10 +170,15 @@ const char *term_sign_to_str(e_term_sign sign);
 const char *delta_sign_to_str(e_delta_sign sign);
 
 /** * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * *
- * UTILS/PRINTER.C
+ * UTILS/PRINT_DEBUG.C
  */
 
 void print_debug(const char *description, ...);
+
+/** * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * *
+ * UTILS/PRINTER.C
+ */
+
 void print_reduced_form(s_polynom *polynom);
 void print_degree(s_polynom *polynom, int max_exponent);
 void print_solution(s_solution *solution);
diff --git a/src/utils/printer.c b/src/printer_equation.c
similarity index 65%
rename from src/utils/printer.c
rename to src/printer_equation.c
index c251d77..555339a 100644
--- a/src/utils/printer.c
+++ b/src/printer_equation.c
@@ -2,19 +2,6 @@
 
 #include "computorv1.h"
 
-void print_debug(const char *description, ...)
-{
-    if (!flag_debug_mode)
-        return;
-
-    // print the formatted description
-    va_list args;
-    va_start(args, description);
-    // ft_vdprintf(STDERR_FILENO, description, args); // it's not handling floats for the moment
-    vdprintf(STDERR_FILENO, description, args);
-    va_end(args);
-}
-
 /**
 - [x] : ./computorv1 -b "3x² + 0x -0 = x"
         Reduced form: 3x² - = 0
@@ -157,45 +144,3 @@ void print_degree(s_polynom *polynom, int degree)
         stop_errors("The polynomial degree is strictly greater than 2, I can't solve.\n");
     }
 }
-
-void print_solution(s_solution *solution)
-{
-    s_solution_degree_1 solution_d1;
-    s_solution_degree_2 solution_d2;
-
-    if (solution->degree == 1)
-    {
-        solution_d1 = solution->solution_degree_1;
-        ft_printf("The solution is:\n");
-        printf("%g\n", solution_d1.solution);
-        return;
-    }
-    else if (solution->degree != 2)
-    {
-        stop_errors("The degree is '%i', it should already have been handled.", solution->degree);
-    }
-
-    // degree 2
-
-    solution_d2 = solution->solution_degree_2;
-    if (solution_d2.delta_sign == 0)
-    {
-        ft_printf("Discriminant is equal to zero, the solution is:\n");
-        printf("%g\n", solution_d2.solution1);
-    }
-    else if (solution_d2.delta_sign > 0)
-    {
-        ft_printf("Discriminant is strictly positive, the two solutions are:\n");
-        printf("%g\n%g\n", solution_d2.solution1, solution_d2.solution2);
-    }
-    else if (solution_d2.delta_sign < 0)
-    {
-        ft_printf("Discriminant is strictly negative, the two complex solutions are:\n");
-        printf("%g/%g + %gi/%g\n", solution_d2.b * -1, solution_d2.a * 2, solution_d2.delta_sqrt, solution_d2.a * 2);
-        printf("%g/%g - %gi/%g\n", solution_d2.b * -1, solution_d2.a * 2, solution_d2.delta_sqrt, solution_d2.a * 2);
-    }
-    else
-    {
-        stop_errors("delta sign is wrong : '%i' , delta : '%g'", solution_d2.delta_sign, solution_d2.delta);
-    }
-}
\ No newline at end of file
diff --git a/src/printer_solutions.c b/src/printer_solutions.c
new file mode 100644
index 0000000..6fb925a
--- /dev/null
+++ b/src/printer_solutions.c
@@ -0,0 +1,69 @@
+/* printer.c */
+
+#include "computorv1.h"
+
+static void print_solution_degree_1(s_solution_degree_1 solution)
+{
+    ft_printf("The solution is:\n");
+    printf("%g\n", solution.solution);
+}
+
+static void print_solution_delta_zero(s_solution_degree_2 solution)
+{
+    ft_printf("Discriminant is equal to zero, the solution is:\n");
+    printf("%g\n", solution.first_term);
+}
+
+static void print_solution_delta_positiv(s_solution_degree_2 solution)
+{
+    ft_printf("Discriminant is strictly positive, the two solutions are:\n");
+    printf("%g\n", solution.first_term + solution.second_term);
+    printf("%g\n", solution.first_term - solution.second_term);
+}
+
+static void print_solution_delta_negativ(s_solution_degree_2 solution)
+{
+    ft_printf("Discriminant is strictly negative, the two complex solutions are:\n");
+
+    // solution 1
+    if (solution.b)
+        printf("%g/%g + ", solution.b * -1, solution.a * 2);
+    printf("%gi/%g\n", solution.delta_sqrt, solution.a * 2);
+
+    // solution 2
+    if (solution.b)
+        printf("%g/%g - ", solution.b * -1, solution.a * 2);
+    else
+        printf("-");
+    printf("%gi/%g\n", solution.delta_sqrt, solution.a * 2);
+}
+
+void print_solution(s_solution *solution)
+{
+    s_solution_degree_2 solution_d2;
+    e_delta_sign delta_sign;
+
+    // degree 1
+
+    if (solution->degree == 1)
+    {
+        return print_solution_degree_1(solution->solution_degree_1);
+    }
+    else if (solution->degree == 2)
+    {
+        solution_d2 = solution->solution_degree_2;
+        delta_sign = solution_d2.delta_sign;
+        if (delta_sign == 0)
+            print_solution_delta_zero(solution_d2);
+        else if (delta_sign > 0)
+            print_solution_delta_positiv(solution_d2);
+        else if (delta_sign < 0)
+            print_solution_delta_negativ(solution_d2);
+        else
+            stop_errors("delta sign is wrong : '%i' , delta : '%g'", solution_d2.delta_sign, solution_d2.delta);
+    }
+    else
+    {
+        stop_errors("The degree is '%i', it should already have been handled.", solution->degree);
+    }
+}
\ No newline at end of file
diff --git a/src/solver.c b/src/solver.c
index 9bf8c78..1cc3304 100644
--- a/src/solver.c
+++ b/src/solver.c
@@ -34,27 +34,10 @@ static void solve_degree_2(s_solution_degree_2 *solution, double a, double b, do
     delta_sqrt = solution->delta_sqrt;
 
     // terms
-    solution->first_term = positiv_zero(-b / (2 * a));        // -b / 2a
-    solution->second_term = positiv_zero(delta_sqrt / 2 * a); // √|Δ| / 2a
-
-    // solution
-    solution->solution1 = solution->first_term; // first_term + second_term
-    if (solution->delta_sign == DELTA_ZERO)
-    {
-        solution->solution1 = positiv_zero(solution->first_term); // -b / 2a
-        solution->solution2 = NAN;                                // NAN (no solution)
-    }
-    else if (solution->delta_sign == DELTA_PLUS)
-    {
-        solution->solution1 = positiv_zero(solution->first_term + solution->second_term); // -b / 2a + √Δ / 2a
-        solution->solution2 = positiv_zero(solution->first_term - solution->second_term); // -b / 2a - √Δ / 2a
-    }
-    else if (solution->delta_sign == DELTA_MINUS)
-    {
-        // no real solution, but can output irreal solution with 'i'
-        solution->solution1 = NAN;
-        solution->solution2 = NAN;
-    }
+    if (b)
+        solution->first_term = positiv_zero(-b / (2 * a)); // -b / 2a
+    if (delta)
+        solution->second_term = positiv_zero(delta_sqrt / 2 * a); // √|Δ| / 2a
 }
 
 void solve(const s_polynom *polynom, s_solution *solution)
diff --git a/src/utils/errors.c b/src/utils/errors.c
index 64ea62f..ca6f88f 100644
--- a/src/utils/errors.c
+++ b/src/utils/errors.c
@@ -101,9 +101,6 @@ static void print_context_solution()
 
         dprintf(STDERR_FILENO, "first_term             : %15g  ( -b / 2a               )\n", solution_d2.first_term);
         dprintf(STDERR_FILENO, "second_term            : %15g  ( √|Δ| / 2a             )\n", solution_d2.second_term);
-
-        dprintf(STDERR_FILENO, "solution1              : %15g  ( (-b / 2a) + (√Δ / 2a) )\n", solution_d2.solution1);
-        dprintf(STDERR_FILENO, "solution2              : %15g  ( (-b / 2a) - (√Δ / 2a) )\n", solution_d2.solution2);
     }
 
     ft_putchar_fd('\n', STDERR_FILENO);
diff --git a/src/utils/print_debug.c b/src/utils/print_debug.c
new file mode 100644
index 0000000..7d6dc7f
--- /dev/null
+++ b/src/utils/print_debug.c
@@ -0,0 +1,16 @@
+/* printer.c */
+
+#include "computorv1.h"
+
+void print_debug(const char *description, ...)
+{
+    if (!flag_debug_mode)
+        return;
+
+    // print the formatted description
+    va_list args;
+    va_start(args, description);
+    // ft_vdprintf(STDERR_FILENO, description, args); // it's not handling floats for the moment
+    vdprintf(STDERR_FILENO, description, args);
+    va_end(args);
+}