12m^2+12m=-3

Solution for 12m^2+12m=-3 equation:

Simplifying
12m2 + 12m = -3

Reorder the terms:
12m + 12m2 = -3

Solving
12m + 12m2 = -3

Solving for variable 'm'.

Reorder the terms:
3 + 12m + 12m2 = -3 + 3

Combine like terms: -3 + 3 = 0
3 + 12m + 12m2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(1 + 4m + 4m2) = 0

Factor a trinomial.
3((1 + 2m)(1 + 2m)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(1 + 2m)' equal to zero and attempt to solve:

Simplifying
1 + 2m = 0

Solving
1 + 2m = 0

Move all terms containing m to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + 2m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2m = 0 + -1
2m = 0 + -1

Combine like terms: 0 + -1 = -1
2m = -1

Divide each side by '2'.
m = -0.5

Simplifying
m = -0.5
Subproblem 2
Set the factor '(1 + 2m)' equal to zero and attempt to solve:

Simplifying
1 + 2m = 0

Solving
1 + 2m = 0

Move all terms containing m to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + 2m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2m = 0 + -1
2m = 0 + -1

Combine like terms: 0 + -1 = -1
2m = -1

Divide each side by '2'.
m = -0.5

Simplifying
m = -0.5
Solution
m = {-0.5, -0.5}