24m^2-124m-120=0

Solution for 24m^2-124m-120=0 equation:

Simplifying
24m2 + -124m + -120 = 0

Reorder the terms:
-120 + -124m + 24m2 = 0

Solving
-120 + -124m + 24m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-30 + -31m + 6m2) = 0

Factor a trinomial.
4((-5 + -6m)(6 + -1m)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-5 + -6m)' equal to zero and attempt to solve:

Simplifying
-5 + -6m = 0

Solving
-5 + -6m = 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 + -6m = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -6m = 0 + 5
-6m = 0 + 5

Combine like terms: 0 + 5 = 5
-6m = 5

Divide each side by '-6'.
m = -0.8333333333

Simplifying
m = -0.8333333333
Subproblem 2
Set the factor '(6 + -1m)' equal to zero and attempt to solve:

Simplifying
6 + -1m = 0

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

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

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

Divide each side by '-1'.
m = 6

Simplifying
m = 6
Solution
m = {-0.8333333333, 6}