m^2=-7m-12

Solution for m^2=-7m-12 equation:

Simplifying
m2 = -7m + -12

Reorder the terms:
m2 = -12 + -7m

Solving
m2 = -12 + -7m

Solving for variable 'm'.

Reorder the terms:
12 + 7m + m2 = -12 + -7m + 12 + 7m

Reorder the terms:
12 + 7m + m2 = -12 + 12 + -7m + 7m

Combine like terms: -12 + 12 = 0
12 + 7m + m2 = 0 + -7m + 7m
12 + 7m + m2 = -7m + 7m

Combine like terms: -7m + 7m = 0
12 + 7m + m2 = 0

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

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

Simplifying
4 + m = 0

Solving
4 + m = 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 + m = 0 + -4

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

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

Simplifying
m = -4
Subproblem 2
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
Solution
m = {-4, -3}