m^2+6m=-8

Solution for m^2+6m=-8 equation:

Simplifying
m2 + 6m = -8

Reorder the terms:
6m + m2 = -8

Solving
6m + m2 = -8

Solving for variable 'm'.

Reorder the terms:
8 + 6m + m2 = -8 + 8

Combine like terms: -8 + 8 = 0
8 + 6m + m2 = 0

Factor a trinomial.
(4 + m)(2 + 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 '(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 = {-4, -2}