m^2=-6m-5

Solution for m^2=-6m-5 equation:

Simplifying
m2 = -6m + -5

Reorder the terms:
m2 = -5 + -6m

Solving
m2 = -5 + -6m

Solving for variable 'm'.

Reorder the terms:
5 + 6m + m2 = -5 + -6m + 5 + 6m

Reorder the terms:
5 + 6m + m2 = -5 + 5 + -6m + 6m

Combine like terms: -5 + 5 = 0
5 + 6m + m2 = 0 + -6m + 6m
5 + 6m + m2 = -6m + 6m

Combine like terms: -6m + 6m = 0
5 + 6m + m2 = 0

Factor a trinomial.
(5 + m)(1 + m) = 0

Subproblem 1
Set the factor '(5 + m)' equal to zero and attempt to solve:

Simplifying
5 + m = 0

Solving
5 + m = 0

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

Add '-5' to each side of the equation.
5 + -5 + m = 0 + -5

Combine like terms: 5 + -5 = 0
0 + m = 0 + -5
m = 0 + -5

Combine like terms: 0 + -5 = -5
m = -5

Simplifying
m = -5
Subproblem 2
Set the factor '(1 + m)' equal to zero and attempt to solve:

Simplifying
1 + m = 0

Solving
1 + m = 0

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

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

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

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

Simplifying
m = -1
Solution
m = {-5, -1}