12m^2+3=-20m

Solution for 12m^2+3=-20m equation:

Simplifying
12m2 + 3 = -20m

Reorder the terms:
3 + 12m2 = -20m

Solving
3 + 12m2 = -20m

Solving for variable 'm'.

Reorder the terms:
3 + 20m + 12m2 = -20m + 20m

Combine like terms: -20m + 20m = 0
3 + 20m + 12m2 = 0

Factor a trinomial.
(3 + 2m)(1 + 6m) = 0

Subproblem 1
Set the factor '(3 + 2m)' equal to zero and attempt to solve:

Simplifying
3 + 2m = 0

Solving
3 + 2m = 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 + 2m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2m = 0 + -3
2m = 0 + -3

Combine like terms: 0 + -3 = -3
2m = -3

Divide each side by '2'.
m = -1.5

Simplifying
m = -1.5
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 = {-1.5, -0.1666666667}