m^2+15=-8m

Solution for m^2+15=-8m equation:

Simplifying
m2 + 15 = -8m

Reorder the terms:
15 + m2 = -8m

Solving
15 + m2 = -8m

Solving for variable 'm'.

Reorder the terms:
15 + 8m + m2 = -8m + 8m

Combine like terms: -8m + 8m = 0
15 + 8m + m2 = 0

Factor a trinomial.
(5 + m)(3 + 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 '(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 = {-5, -3}