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Simplifying 4m(m + -2m + 25) = 0 Reorder the terms: 4m(25 + m + -2m) = 0 Combine like terms: m + -2m = -1m 4m(25 + -1m) = 0 (25 * 4m + -1m * 4m) = 0 (100m + -4m2) = 0 Solving 100m + -4m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '4m'. 4m(25 + -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 '(25 + -1m)' equal to zero and attempt to solve: Simplifying 25 + -1m = 0 Solving 25 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -1m = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1m = 0 + -25 -1m = 0 + -25 Combine like terms: 0 + -25 = -25 -1m = -25 Divide each side by '-1'. m = 25 Simplifying m = 25Solution
m = {0, 25}
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