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Simplifying m3 = 64m Solving m3 = 64m Solving for variable 'm'. Reorder the terms: -64m + m3 = 64m + -64m Combine like terms: 64m + -64m = 0 -64m + m3 = 0 Factor out the Greatest Common Factor (GCF), 'm'. m(-64 + m2) = 0 Factor a difference between two squares. m((8 + m)(-8 + 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 '(8 + m)' equal to zero and attempt to solve: Simplifying 8 + m = 0 Solving 8 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + m = 0 + -8 m = 0 + -8 Combine like terms: 0 + -8 = -8 m = -8 Simplifying m = -8Subproblem 3
Set the factor '(-8 + m)' equal to zero and attempt to solve: Simplifying -8 + m = 0 Solving -8 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + m = 0 + 8 Combine like terms: -8 + 8 = 0 0 + m = 0 + 8 m = 0 + 8 Combine like terms: 0 + 8 = 8 m = 8 Simplifying m = 8Solution
m = {0, -8, 8}
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