12m^2+32m+5=0

Solution for 12m^2+32m+5=0 equation:

Simplifying
12m2 + 32m + 5 = 0

Reorder the terms:
5 + 32m + 12m2 = 0

Solving
5 + 32m + 12m2 = 0

Solving for variable 'm'.

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

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

Simplifying
5 + 2m = 0

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

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

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

Divide each side by '2'.
m = -2.5

Simplifying
m = -2.5
Subproblem 2
Set the factor '(1 + 6m)' equal to zero and attempt to solve:

Simplifying
1 + 6m = 0

Solving
1 + 6m = 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 + 6m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 6m = 0 + -1
6m = 0 + -1

Combine like terms: 0 + -1 = -1
6m = -1

Divide each side by '6'.
m = -0.1666666667

Simplifying
m = -0.1666666667
Solution
m = {-2.5, -0.1666666667}