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Simplifying m3 + -144m = 0 Reorder the terms: -144m + m3 = 0 Solving -144m + m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(-144 + m2) = 0 Factor a difference between two squares. m((12 + m)(-12 + 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 '(12 + m)' equal to zero and attempt to solve: Simplifying 12 + m = 0 Solving 12 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + m = 0 + -12 Combine like terms: 12 + -12 = 0 0 + m = 0 + -12 m = 0 + -12 Combine like terms: 0 + -12 = -12 m = -12 Simplifying m = -12Subproblem 3
Set the factor '(-12 + m)' equal to zero and attempt to solve: Simplifying -12 + m = 0 Solving -12 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + m = 0 + 12 Combine like terms: -12 + 12 = 0 0 + m = 0 + 12 m = 0 + 12 Combine like terms: 0 + 12 = 12 m = 12 Simplifying m = 12Solution
m = {0, -12, 12}
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