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Simplifying (1m + 1)(12m + -2) = 0 Reorder the terms: (1 + 1m)(12m + -2) = 0 Reorder the terms: (1 + 1m)(-2 + 12m) = 0 Multiply (1 + 1m) * (-2 + 12m) (1(-2 + 12m) + 1m * (-2 + 12m)) = 0 ((-2 * 1 + 12m * 1) + 1m * (-2 + 12m)) = 0 ((-2 + 12m) + 1m * (-2 + 12m)) = 0 (-2 + 12m + (-2 * 1m + 12m * 1m)) = 0 (-2 + 12m + (-2m + 12m2)) = 0 Combine like terms: 12m + -2m = 10m (-2 + 10m + 12m2) = 0 Solving -2 + 10m + 12m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + 5m + 6m2) = 0 Factor a trinomial. 2((-1 + -1m)(1 + -6m)) = 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 = -1Subproblem 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 = 0.1666666667Solution
m = {-1, 0.1666666667}
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