18m^2-6m-4=0

Solution for 18m^2-6m-4=0 equation:

Simplifying
18m2 + -6m + -4 = 0

Reorder the terms:
-4 + -6m + 18m2 = 0

Solving
-4 + -6m + 18m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-2 + -3m + 9m2) = 0

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

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

Simplifying
-1 + -3m = 0

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

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

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

Divide each side by '-3'.
m = -0.3333333333

Simplifying
m = -0.3333333333
Subproblem 2
Set the factor '(2 + -3m)' equal to zero and attempt to solve:

Simplifying
2 + -3m = 0

Solving
2 + -3m = 0

Move all terms containing m to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -3m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3m = 0 + -2
-3m = 0 + -2

Combine like terms: 0 + -2 = -2
-3m = -2

Divide each side by '-3'.
m = 0.6666666667

Simplifying
m = 0.6666666667
Solution
m = {-0.3333333333, 0.6666666667}