24m^2+8m-2=

Solution for 24m^2+8m-2= equation:

Simplifying
24m2 + 8m + -2 = 0

Reorder the terms:
-2 + 8m + 24m2 = 0

Solving
-2 + 8m + 24m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + 4m + 12m2) = 0

Factor a trinomial.
2((-1 + -2m)(1 + -6m)) = 0

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

Simplifying
1 + -6m = 0

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

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

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

Divide each side by '-6'.
m = 0.1666666667

Simplifying
m = 0.1666666667
Solution
m = {-0.5, 0.1666666667}