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Simplifying m(m + 4) = 2m(m + 4) Reorder the terms: m(4 + m) = 2m(m + 4) (4 * m + m * m) = 2m(m + 4) (4m + m2) = 2m(m + 4) Reorder the terms: 4m + m2 = 2m(4 + m) 4m + m2 = (4 * 2m + m * 2m) 4m + m2 = (8m + 2m2) Solving 4m + m2 = 8m + 2m2 Solving for variable 'm'. Reorder the terms: 4m + -8m + m2 + -2m2 = 8m + 2m2 + -8m + -2m2 Combine like terms: 4m + -8m = -4m -4m + m2 + -2m2 = 8m + 2m2 + -8m + -2m2 Combine like terms: m2 + -2m2 = -1m2 -4m + -1m2 = 8m + 2m2 + -8m + -2m2 Reorder the terms: -4m + -1m2 = 8m + -8m + 2m2 + -2m2 Combine like terms: 8m + -8m = 0 -4m + -1m2 = 0 + 2m2 + -2m2 -4m + -1m2 = 2m2 + -2m2 Combine like terms: 2m2 + -2m2 = 0 -4m + -1m2 = 0 Factor out the Greatest Common Factor (GCF), '-1m'. -1m(4 + m) = 0 Ignore the factor -1.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 = 0Subproblem 2
Set the factor '(4 + m)' equal to zero and attempt to solve: Simplifying 4 + m = 0 Solving 4 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + m = 0 + -4 m = 0 + -4 Combine like terms: 0 + -4 = -4 m = -4 Simplifying m = -4Solution
m = {0, -4}
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