24m^2+20m-16=0

Solution for 24m^2+20m-16=0 equation:

Simplifying
24m2 + 20m + -16 = 0

Reorder the terms:
-16 + 20m + 24m2 = 0

Solving
-16 + 20m + 24m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-4 + 5m + 6m2) = 0

Factor a trinomial.
4((-4 + -3m)(1 + -2m)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-4 + -3m)' equal to zero and attempt to solve:

Simplifying
-4 + -3m = 0

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

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

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

Divide each side by '-3'.
m = -1.333333333

Simplifying
m = -1.333333333
Subproblem 2
Set the factor '(1 + -2m)' equal to zero and attempt to solve:

Simplifying
1 + -2m = 0

Solving
1 + -2m = 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 + -2m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2m = 0 + -1
-2m = 0 + -1

Combine like terms: 0 + -1 = -1
-2m = -1

Divide each side by '-2'.
m = 0.5

Simplifying
m = 0.5
Solution
m = {-1.333333333, 0.5}