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Simplifying (3m + 1)(2m + -2) = 0 Reorder the terms: (1 + 3m)(2m + -2) = 0 Reorder the terms: (1 + 3m)(-2 + 2m) = 0 Multiply (1 + 3m) * (-2 + 2m) (1(-2 + 2m) + 3m * (-2 + 2m)) = 0 ((-2 * 1 + 2m * 1) + 3m * (-2 + 2m)) = 0 ((-2 + 2m) + 3m * (-2 + 2m)) = 0 (-2 + 2m + (-2 * 3m + 2m * 3m)) = 0 (-2 + 2m + (-6m + 6m2)) = 0 Combine like terms: 2m + -6m = -4m (-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 + -3m)(1 + -1m)) = 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 = -0.3333333333Subproblem 2
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 = 1Solution
m = {-0.3333333333, 1}
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