-2[3m^2-2m-1]=

Solution for -2[3m^2-2m-1]= equation:

Simplifying
-2[3m2 + -2m + -1] = 0

Reorder the terms:
-2[-1 + -2m + 3m2] = 0
[-1 * -2 + -2m * -2 + 3m2 * -2] = 0
[2 + 4m + -6m2] = 0

Solving
2 + 4m + -6m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + 2m + -3m2) = 0

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

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

Simplifying
1 + -1m = 0

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

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

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

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

Simplifying
m = 1
Subproblem 2
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
Solution
m = {1, -0.3333333333}