2m^2+2m-12=12

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

Simplifying
2m2 + 2m + -12 = 12

Reorder the terms:
-12 + 2m + 2m2 = 12

Solving
-12 + 2m + 2m2 = 12

Solving for variable 'm'.

Reorder the terms:
-12 + -12 + 2m + 2m2 = 12 + -12

Combine like terms: -12 + -12 = -24
-24 + 2m + 2m2 = 12 + -12

Combine like terms: 12 + -12 = 0
-24 + 2m + 2m2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-12 + m + m2) = 0

Factor a trinomial.
2((-4 + -1m)(3 + -1m)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-4 + -1m)' equal to zero and attempt to solve:

Simplifying
-4 + -1m = 0

Solving
-4 + -1m = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1m = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1m = 0 + 4
-1m = 0 + 4

Combine like terms: 0 + 4 = 4
-1m = 4

Divide each side by '-1'.
m = -4

Simplifying
m = -4
Subproblem 2
Set the factor '(3 + -1m)' equal to zero and attempt to solve:

Simplifying
3 + -1m = 0

Solving
3 + -1m = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1m = 0 + -3
-1m = 0 + -3

Combine like terms: 0 + -3 = -3
-1m = -3

Divide each side by '-1'.
m = 3

Simplifying
m = 3
Solution
m = {-4, 3}