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Simplifying m3 = 52m2 Solving m3 = 52m2 Solving for variable 'm'. Reorder the terms: -52m2 + m3 = 52m2 + -52m2 Combine like terms: 52m2 + -52m2 = 0 -52m2 + m3 = 0 Factor out the Greatest Common Factor (GCF), 'm2'. m2(-52 + m) = 0Subproblem 1
Set the factor 'm2' equal to zero and attempt to solve: Simplifying m2 = 0 Solving m2 = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m2 = 0 Take the square root of each side: m = {0}Subproblem 2
Set the factor '(-52 + m)' equal to zero and attempt to solve: Simplifying -52 + m = 0 Solving -52 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '52' to each side of the equation. -52 + 52 + m = 0 + 52 Combine like terms: -52 + 52 = 0 0 + m = 0 + 52 m = 0 + 52 Combine like terms: 0 + 52 = 52 m = 52 Simplifying m = 52Solution
m = {0, 52}
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