20m^2+m-12=0

Solution for 20m^2+m-12=0 equation:

Simplifying
20m2 + m + -12 = 0

Reorder the terms:
-12 + m + 20m2 = 0

Solving
-12 + m + 20m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-4 + -5m)(3 + -4m) = 0

Subproblem 1
Set the factor '(-4 + -5m)' equal to zero and attempt to solve:

Simplifying
-4 + -5m = 0

Solving
-4 + -5m = 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 + -5m = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -5m = 0 + 4
-5m = 0 + 4

Combine like terms: 0 + 4 = 4
-5m = 4

Divide each side by '-5'.
m = -0.8

Simplifying
m = -0.8
Subproblem 2
Set the factor '(3 + -4m)' equal to zero and attempt to solve:

Simplifying
3 + -4m = 0

Solving
3 + -4m = 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 + -4m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4m = 0 + -3
-4m = 0 + -3

Combine like terms: 0 + -3 = -3
-4m = -3

Divide each side by '-4'.
m = 0.75

Simplifying
m = 0.75
Solution
m = {-0.8, 0.75}