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Simplifying 5m(3m + 2)(m + -6) = 0 Reorder the terms: 5m(2 + 3m)(m + -6) = 0 Reorder the terms: 5m(2 + 3m)(-6 + m) = 0 Multiply (2 + 3m) * (-6 + m) 5m(2(-6 + m) + 3m * (-6 + m)) = 0 5m((-6 * 2 + m * 2) + 3m * (-6 + m)) = 0 5m((-12 + 2m) + 3m * (-6 + m)) = 0 5m(-12 + 2m + (-6 * 3m + m * 3m)) = 0 5m(-12 + 2m + (-18m + 3m2)) = 0 Combine like terms: 2m + -18m = -16m 5m(-12 + -16m + 3m2) = 0 (-12 * 5m + -16m * 5m + 3m2 * 5m) = 0 (-60m + -80m2 + 15m3) = 0 Solving -60m + -80m2 + 15m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '5m'. 5m(-12 + -16m + 3m2) = 0 Factor a trinomial. 5m((-2 + -3m)(6 + -1m)) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'm' equal to zero and attempt to solve: Simplifying m = 0 Solving m = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m = 0Subproblem 2
Set the factor '(-2 + -3m)' equal to zero and attempt to solve: Simplifying -2 + -3m = 0 Solving -2 + -3m = 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 + -3m = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3m = 0 + 2 -3m = 0 + 2 Combine like terms: 0 + 2 = 2 -3m = 2 Divide each side by '-3'. m = -0.6666666667 Simplifying m = -0.6666666667Subproblem 3
Set the factor '(6 + -1m)' equal to zero and attempt to solve: Simplifying 6 + -1m = 0 Solving 6 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1m = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1m = 0 + -6 -1m = 0 + -6 Combine like terms: 0 + -6 = -6 -1m = -6 Divide each side by '-1'. m = 6 Simplifying m = 6Solution
m = {0, -0.6666666667, 6}
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