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Simplifying m^{2}+ -5m = 0 Reorder the terms: -5m + m^{2}= 0 Solving -5m + m^{2}= 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(-5 + m) = 0## Subproblem 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 = 0## Subproblem 2

Set the factor '(-5 + m)' equal to zero and attempt to solve: Simplifying -5 + m = 0 Solving -5 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + m = 0 + 5 Combine like terms: -5 + 5 = 0 0 + m = 0 + 5 m = 0 + 5 Combine like terms: 0 + 5 = 5 m = 5 Simplifying m = 5## Solution

m = {0, 5}

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