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Simplifying 3m3 = 27m2 Solving 3m3 = 27m2 Solving for variable 'm'. Reorder the terms: -27m2 + 3m3 = 27m2 + -27m2 Combine like terms: 27m2 + -27m2 = 0 -27m2 + 3m3 = 0 Factor out the Greatest Common Factor (GCF), '3m2'. 3m2(-9 + m) = 0 Ignore the factor 3.Subproblem 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 '(-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}
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