6m^2+12m-90=0

Solution for 6m^2+12m-90=0 equation:

Simplifying
6m2 + 12m + -90 = 0

Reorder the terms:
-90 + 12m + 6m2 = 0

Solving
-90 + 12m + 6m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-15 + 2m + m2) = 0

Factor a trinomial.
6((-5 + -1m)(3 + -1m)) = 0

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

Simplifying
-5 + -1m = 0

Solving
-5 + -1m = 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 + -1m = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1m = 0 + 5
-1m = 0 + 5

Combine like terms: 0 + 5 = 5
-1m = 5

Divide each side by '-1'.
m = -5

Simplifying
m = -5
Subproblem 2
Set the factor '(3 + -1m)' equal to zero and attempt to solve:

Simplifying
3 + -1m = 0

Solving
3 + -1m = 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 + -1m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1m = 0 + -3
-1m = 0 + -3

Combine like terms: 0 + -3 = -3
-1m = -3

Divide each side by '-1'.
m = 3

Simplifying
m = 3
Solution
m = {-5, 3}