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Simplifying 0 = 4m2 + -20m Reorder the terms: 0 = -20m + 4m2 Solving 0 = -20m + 4m2 Solving for variable 'm'. Remove the zero: 20m + -4m2 = -20m + 4m2 + 20m + -4m2 Reorder the terms: 20m + -4m2 = -20m + 20m + 4m2 + -4m2 Combine like terms: -20m + 20m = 0 20m + -4m2 = 0 + 4m2 + -4m2 20m + -4m2 = 4m2 + -4m2 Combine like terms: 4m2 + -4m2 = 0 20m + -4m2 = 0 Factor out the Greatest Common Factor (GCF), '4m'. 4m(5 + -1m) = 0 Ignore the factor 4.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 '(5 + -1m)' equal to zero and attempt to solve: Simplifying 5 + -1m = 0 Solving 5 + -1m = 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 + -1m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1m = 0 + -5 -1m = 0 + -5 Combine like terms: 0 + -5 = -5 -1m = -5 Divide each side by '-1'. m = 5 Simplifying m = 5Solution
m = {0, 5}
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