-12=5m^2+16m

Solution for -12=5m^2+16m equation:

Simplifying
-12 = 5m2 + 16m

Reorder the terms:
-12 = 16m + 5m2

Solving
-12 = 16m + 5m2

Solving for variable 'm'.

Reorder the terms:
-12 + -16m + -5m2 = 16m + -16m + 5m2 + -5m2

Combine like terms: 16m + -16m = 0
-12 + -16m + -5m2 = 0 + 5m2 + -5m2
-12 + -16m + -5m2 = 5m2 + -5m2

Combine like terms: 5m2 + -5m2 = 0
-12 + -16m + -5m2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(12 + 16m + 5m2) = 0

Factor a trinomial.
-1((2 + m)(6 + 5m)) = 0

Ignore the factor -1.
Subproblem 1
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
Subproblem 2
Set the factor '(6 + 5m)' equal to zero and attempt to solve:

Simplifying
6 + 5m = 0

Solving
6 + 5m = 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 + 5m = 0 + -6

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

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

Divide each side by '5'.
m = -1.2

Simplifying
m = -1.2
Solution
m = {-2, -1.2}