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Simplifying 4m2 + -52m = -160 Reorder the terms: -52m + 4m2 = -160 Solving -52m + 4m2 = -160 Solving for variable 'm'. Reorder the terms: 160 + -52m + 4m2 = -160 + 160 Combine like terms: -160 + 160 = 0 160 + -52m + 4m2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(40 + -13m + m2) = 0 Factor a trinomial. 4((5 + -1m)(8 + -1m)) = 0 Ignore the factor 4.Subproblem 1
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 = 5Subproblem 2
Set the factor '(8 + -1m)' equal to zero and attempt to solve: Simplifying 8 + -1m = 0 Solving 8 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1m = 0 + -8 -1m = 0 + -8 Combine like terms: 0 + -8 = -8 -1m = -8 Divide each side by '-1'. m = 8 Simplifying m = 8Solution
m = {5, 8}
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