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Simplifying m(10m + 50) = 500 Reorder the terms: m(50 + 10m) = 500 (50 * m + 10m * m) = 500 (50m + 10m2) = 500 Solving 50m + 10m2 = 500 Solving for variable 'm'. Reorder the terms: -500 + 50m + 10m2 = 500 + -500 Combine like terms: 500 + -500 = 0 -500 + 50m + 10m2 = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(-50 + 5m + m2) = 0 Factor a trinomial. 10((-10 + -1m)(5 + -1m)) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(-10 + -1m)' equal to zero and attempt to solve: Simplifying -10 + -1m = 0 Solving -10 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1m = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1m = 0 + 10 -1m = 0 + 10 Combine like terms: 0 + 10 = 10 -1m = 10 Divide each side by '-1'. m = -10 Simplifying m = -10Subproblem 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 = {-10, 5}
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