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Simplifying m(m + 6)(m + -9) = 0 Reorder the terms: m(6 + m)(m + -9) = 0 Reorder the terms: m(6 + m)(-9 + m) = 0 Multiply (6 + m) * (-9 + m) m(6(-9 + m) + m(-9 + m)) = 0 m((-9 * 6 + m * 6) + m(-9 + m)) = 0 m((-54 + 6m) + m(-9 + m)) = 0 m(-54 + 6m + (-9 * m + m * m)) = 0 m(-54 + 6m + (-9m + m2)) = 0 Combine like terms: 6m + -9m = -3m m(-54 + -3m + m2) = 0 (-54 * m + -3m * m + m2 * m) = 0 (-54m + -3m2 + m3) = 0 Solving -54m + -3m2 + m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(-54 + -3m + m2) = 0 Factor a trinomial. m((-6 + -1m)(9 + -1m)) = 0Subproblem 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 '(-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 = -6Subproblem 3
Set the factor '(9 + -1m)' equal to zero and attempt to solve: Simplifying 9 + -1m = 0 Solving 9 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1m = 0 + -9 -1m = 0 + -9 Combine like terms: 0 + -9 = -9 -1m = -9 Divide each side by '-1'. m = 9 Simplifying m = 9Solution
m = {0, -6, 9}
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