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Simplifying (3m + 6)(6m + -10) = 0 Reorder the terms: (6 + 3m)(6m + -10) = 0 Reorder the terms: (6 + 3m)(-10 + 6m) = 0 Multiply (6 + 3m) * (-10 + 6m) (6(-10 + 6m) + 3m * (-10 + 6m)) = 0 ((-10 * 6 + 6m * 6) + 3m * (-10 + 6m)) = 0 ((-60 + 36m) + 3m * (-10 + 6m)) = 0 (-60 + 36m + (-10 * 3m + 6m * 3m)) = 0 (-60 + 36m + (-30m + 18m2)) = 0 Combine like terms: 36m + -30m = 6m (-60 + 6m + 18m2) = 0 Solving -60 + 6m + 18m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '6'. 6(-10 + m + 3m2) = 0 Factor a trinomial. 6((-2 + -1m)(5 + -3m)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-2 + -1m)' equal to zero and attempt to solve: Simplifying -2 + -1m = 0 Solving -2 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1m = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1m = 0 + 2 -1m = 0 + 2 Combine like terms: 0 + 2 = 2 -1m = 2 Divide each side by '-1'. m = -2 Simplifying m = -2Subproblem 2
Set the factor '(5 + -3m)' equal to zero and attempt to solve: Simplifying 5 + -3m = 0 Solving 5 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3m = 0 + -5 -3m = 0 + -5 Combine like terms: 0 + -5 = -5 -3m = -5 Divide each side by '-3'. m = 1.666666667 Simplifying m = 1.666666667Solution
m = {-2, 1.666666667}
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