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Simplifying 3m(2m + 1)(m + -3) = 0 Reorder the terms: 3m(1 + 2m)(m + -3) = 0 Reorder the terms: 3m(1 + 2m)(-3 + m) = 0 Multiply (1 + 2m) * (-3 + m) 3m(1(-3 + m) + 2m * (-3 + m)) = 0 3m((-3 * 1 + m * 1) + 2m * (-3 + m)) = 0 3m((-3 + 1m) + 2m * (-3 + m)) = 0 3m(-3 + 1m + (-3 * 2m + m * 2m)) = 0 3m(-3 + 1m + (-6m + 2m2)) = 0 Combine like terms: 1m + -6m = -5m 3m(-3 + -5m + 2m2) = 0 (-3 * 3m + -5m * 3m + 2m2 * 3m) = 0 (-9m + -15m2 + 6m3) = 0 Solving -9m + -15m2 + 6m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '3m'. 3m(-3 + -5m + 2m2) = 0 Factor a trinomial. 3m((-1 + -2m)(3 + -1m)) = 0 Ignore the factor 3.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 '(-1 + -2m)' equal to zero and attempt to solve: Simplifying -1 + -2m = 0 Solving -1 + -2m = 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 + -2m = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2m = 0 + 1 -2m = 0 + 1 Combine like terms: 0 + 1 = 1 -2m = 1 Divide each side by '-2'. m = -0.5 Simplifying m = -0.5Subproblem 3
Set the factor '(3 + -1m)' equal to zero and attempt to solve: Simplifying 3 + -1m = 0 Solving 3 + -1m = 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 + -1m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1m = 0 + -3 -1m = 0 + -3 Combine like terms: 0 + -3 = -3 -1m = -3 Divide each side by '-1'. m = 3 Simplifying m = 3Solution
m = {0, -0.5, 3}
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