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Simplifying (8m + -6)(6m + 2) = 0 Reorder the terms: (-6 + 8m)(6m + 2) = 0 Reorder the terms: (-6 + 8m)(2 + 6m) = 0 Multiply (-6 + 8m) * (2 + 6m) (-6(2 + 6m) + 8m * (2 + 6m)) = 0 ((2 * -6 + 6m * -6) + 8m * (2 + 6m)) = 0 ((-12 + -36m) + 8m * (2 + 6m)) = 0 (-12 + -36m + (2 * 8m + 6m * 8m)) = 0 (-12 + -36m + (16m + 48m2)) = 0 Combine like terms: -36m + 16m = -20m (-12 + -20m + 48m2) = 0 Solving -12 + -20m + 48m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '4'. 4(-3 + -5m + 12m2) = 0 Factor a trinomial. 4((-1 + -3m)(3 + -4m)) = 0 Ignore the factor 4.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 '(3 + -4m)' equal to zero and attempt to solve: Simplifying 3 + -4m = 0 Solving 3 + -4m = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4m = 0 + -3 -4m = 0 + -3 Combine like terms: 0 + -3 = -3 -4m = -3 Divide each side by '-4'. m = 0.75 Simplifying m = 0.75Solution
m = {-0.3333333333, 0.75}
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