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Simplifying m(m + 4) = 6m2 Reorder the terms: m(4 + m) = 6m2 (4 * m + m * m) = 6m2 (4m + m2) = 6m2 Solving 4m + m2 = 6m2 Solving for variable 'm'. Combine like terms: m2 + -6m2 = -5m2 4m + -5m2 = 6m2 + -6m2 Combine like terms: 6m2 + -6m2 = 0 4m + -5m2 = 0 Factor out the Greatest Common Factor (GCF), 'm'. m(4 + -5m) = 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 '(4 + -5m)' equal to zero and attempt to solve: Simplifying 4 + -5m = 0 Solving 4 + -5m = 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 + -5m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5m = 0 + -4 -5m = 0 + -4 Combine like terms: 0 + -4 = -4 -5m = -4 Divide each side by '-5'. m = 0.8 Simplifying m = 0.8Solution
m = {0, 0.8}
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