2m^2+10m=-12

Solution for 2m^2+10m=-12 equation:

Simplifying
2m2 + 10m = -12

Reorder the terms:
10m + 2m2 = -12

Solving
10m + 2m2 = -12

Solving for variable 'm'.

Reorder the terms:
12 + 10m + 2m2 = -12 + 12

Combine like terms: -12 + 12 = 0
12 + 10m + 2m2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(6 + 5m + m2) = 0

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

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

Simplifying
3 + m = 0

Solving
3 + m = 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 + m = 0 + -3

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

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

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

Simplifying
2 + m = 0

Solving
2 + m = 0

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

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

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

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

Simplifying
m = -2
Solution
m = {-3, -2}