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Simplifying m(m + 4)(m + -6) = 0 Reorder the terms: m(4 + m)(m + -6) = 0 Reorder the terms: m(4 + m)(-6 + m) = 0 Multiply (4 + m) * (-6 + m) m(4(-6 + m) + m(-6 + m)) = 0 m((-6 * 4 + m * 4) + m(-6 + m)) = 0 m((-24 + 4m) + m(-6 + m)) = 0 m(-24 + 4m + (-6 * m + m * m)) = 0 m(-24 + 4m + (-6m + m2)) = 0 Combine like terms: 4m + -6m = -2m m(-24 + -2m + m2) = 0 (-24 * m + -2m * m + m2 * m) = 0 (-24m + -2m2 + m3) = 0 Solving -24m + -2m2 + m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(-24 + -2m + m2) = 0 Factor a trinomial. m((-4 + -1m)(6 + -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 '(-4 + -1m)' equal to zero and attempt to solve: Simplifying -4 + -1m = 0 Solving -4 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1m = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1m = 0 + 4 -1m = 0 + 4 Combine like terms: 0 + 4 = 4 -1m = 4 Divide each side by '-1'. m = -4 Simplifying m = -4Subproblem 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, -4, 6}
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