-2(3m^2-2m-1)=

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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}

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