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Simplifying m3 + -225m = 0 Reorder the terms: -225m + m3 = 0 Solving -225m + m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(-225 + m2) = 0 Factor a difference between two squares. m((15 + m)(-15 + 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 '(15 + m)' equal to zero and attempt to solve: Simplifying 15 + m = 0 Solving 15 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + m = 0 + -15 Combine like terms: 15 + -15 = 0 0 + m = 0 + -15 m = 0 + -15 Combine like terms: 0 + -15 = -15 m = -15 Simplifying m = -15Subproblem 3
Set the factor '(-15 + m)' equal to zero and attempt to solve: Simplifying -15 + m = 0 Solving -15 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + m = 0 + 15 Combine like terms: -15 + 15 = 0 0 + m = 0 + 15 m = 0 + 15 Combine like terms: 0 + 15 = 15 m = 15 Simplifying m = 15Solution
m = {0, -15, 15}
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