20m^2-6m-36=0

Solution for 20m^2-6m-36=0 equation:

Simplifying
20m2 + -6m + -36 = 0

Reorder the terms:
-36 + -6m + 20m2 = 0

Solving
-36 + -6m + 20m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-18 + -3m + 10m2) = 0

Factor a trinomial.
2((-6 + -5m)(3 + -2m)) = 0

Ignore the factor 2.
Subproblem 1
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
Subproblem 2
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
Solution
m = {-1.2, 1.5}