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Simplifying m2 + -5m = 4m Reorder the terms: -5m + m2 = 4m Solving -5m + m2 = 4m Solving for variable 'm'. Reorder the terms: -5m + -4m + m2 = 4m + -4m Combine like terms: -5m + -4m = -9m -9m + m2 = 4m + -4m Combine like terms: 4m + -4m = 0 -9m + m2 = 0 Factor out the Greatest Common Factor (GCF), 'm'. m(-9 + 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 '(-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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