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Simplifying m(m + -20) = -96 Reorder the terms: m(-20 + m) = -96 (-20 * m + m * m) = -96 (-20m + m2) = -96 Solving -20m + m2 = -96 Solving for variable 'm'. Reorder the terms: 96 + -20m + m2 = -96 + 96 Combine like terms: -96 + 96 = 0 96 + -20m + m2 = 0 Factor a trinomial. (8 + -1m)(12 + -1m) = 0Subproblem 1
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 = 8Subproblem 2
Set the factor '(12 + -1m)' equal to zero and attempt to solve: Simplifying 12 + -1m = 0 Solving 12 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1m = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1m = 0 + -12 -1m = 0 + -12 Combine like terms: 0 + -12 = -12 -1m = -12 Divide each side by '-1'. m = 12 Simplifying m = 12Solution
m = {8, 12}
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