5m^2+32m=-12

Solution for 5m^2+32m=-12 equation:

Simplifying
5m2 + 32m = -12

Reorder the terms:
32m + 5m2 = -12

Solving
32m + 5m2 = -12

Solving for variable 'm'.

Reorder the terms:
12 + 32m + 5m2 = -12 + 12

Combine like terms: -12 + 12 = 0
12 + 32m + 5m2 = 0

Factor a trinomial.
(6 + m)(2 + 5m) = 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 + 5m)' equal to zero and attempt to solve:

Simplifying
2 + 5m = 0

Solving
2 + 5m = 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 + 5m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5m = 0 + -2
5m = 0 + -2

Combine like terms: 0 + -2 = -2
5m = -2

Divide each side by '5'.
m = -0.4

Simplifying
m = -0.4
Solution
m = {-6, -0.4}