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Simplifying m3 + -81m = 0 Reorder the terms: -81m + m3 = 0 Solving -81m + m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(-81 + m2) = 0 Factor a difference between two squares. m((9 + m)(-9 + m)) = 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 '(9 + m)' equal to zero and attempt to solve: Simplifying 9 + m = 0 Solving 9 + m = 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 + m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + m = 0 + -9 m = 0 + -9 Combine like terms: 0 + -9 = -9 m = -9 Simplifying m = -9Subproblem 3
Set the factor '(-9 + m)' equal to zero and attempt to solve: Simplifying -9 + m = 0 Solving -9 + m = 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 + m = 0 + 9 Combine like terms: -9 + 9 = 0 0 + m = 0 + 9 m = 0 + 9 Combine like terms: 0 + 9 = 9 m = 9 Simplifying m = 9Solution
m = {0, -9, 9}
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