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Simplifying m(m + -5) = 84 Reorder the terms: m(-5 + m) = 84 (-5 * m + m * m) = 84 (-5m + m2) = 84 Solving -5m + m2 = 84 Solving for variable 'm'. Reorder the terms: -84 + -5m + m2 = 84 + -84 Combine like terms: 84 + -84 = 0 -84 + -5m + m2 = 0 Factor a trinomial. (-7 + -1m)(12 + -1m) = 0Subproblem 1
Set the factor '(-7 + -1m)' equal to zero and attempt to solve: Simplifying -7 + -1m = 0 Solving -7 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1m = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1m = 0 + 7 -1m = 0 + 7 Combine like terms: 0 + 7 = 7 -1m = 7 Divide each side by '-1'. m = -7 Simplifying m = -7Subproblem 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 = {-7, 12}
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