m^2=-12-8m

Solution for m^2=-12-8m equation:

Simplifying
m2 = -12 + -8m

Solving
m2 = -12 + -8m

Solving for variable 'm'.

Reorder the terms:
12 + 8m + m2 = -12 + -8m + 12 + 8m

Reorder the terms:
12 + 8m + m2 = -12 + 12 + -8m + 8m

Combine like terms: -12 + 12 = 0
12 + 8m + m2 = 0 + -8m + 8m
12 + 8m + m2 = -8m + 8m

Combine like terms: -8m + 8m = 0
12 + 8m + m2 = 0

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

Subproblem 1
Set the factor '(6 + m)' equal to zero and attempt to solve:

Simplifying
6 + m = 0

Solving
6 + m = 0

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

Add '-6' to each side of the equation.
6 + -6 + m = 0 + -6

Combine like terms: 6 + -6 = 0
0 + m = 0 + -6
m = 0 + -6

Combine like terms: 0 + -6 = -6
m = -6

Simplifying
m = -6
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 = {-6, -2}