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Simplifying m2 = 3m + 10m Combine like terms: 3m + 10m = 13m m2 = 13m Solving m2 = 13m Solving for variable 'm'. Reorder the terms: -13m + m2 = 13m + -13m Combine like terms: 13m + -13m = 0 -13m + m2 = 0 Factor out the Greatest Common Factor (GCF), 'm'. m(-13 + 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 '(-13 + m)' equal to zero and attempt to solve: Simplifying -13 + m = 0 Solving -13 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + m = 0 + 13 Combine like terms: -13 + 13 = 0 0 + m = 0 + 13 m = 0 + 13 Combine like terms: 0 + 13 = 13 m = 13 Simplifying m = 13Solution
m = {0, 13}
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