32+5m=-7m-m^2

Solution for 32+5m=-7m-m^2 equation:

Simplifying
32 + 5m = -7m + -1m2

Solving
32 + 5m = -7m + -1m2

Solving for variable 'm'.

Combine like terms: 5m + 7m = 12m
32 + 12m + m2 = -7m + -1m2 + 7m + m2

Reorder the terms:
32 + 12m + m2 = -7m + 7m + -1m2 + m2

Combine like terms: -7m + 7m = 0
32 + 12m + m2 = 0 + -1m2 + m2
32 + 12m + m2 = -1m2 + m2

Combine like terms: -1m2 + m2 = 0
32 + 12m + m2 = 0

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

Subproblem 1
Set the factor '(8 + m)' equal to zero and attempt to solve:

Simplifying
8 + m = 0

Solving
8 + m = 0

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

Add '-8' to each side of the equation.
8 + -8 + m = 0 + -8

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

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

Simplifying
m = -8
Subproblem 2
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
Solution
m = {-8, -4}