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Simplifying m2 + -12m + -92 = -7 Reorder the terms: -92 + -12m + m2 = -7 Solving -92 + -12m + m2 = -7 Solving for variable 'm'. Reorder the terms: -92 + 7 + -12m + m2 = -7 + 7 Combine like terms: -92 + 7 = -85 -85 + -12m + m2 = -7 + 7 Combine like terms: -7 + 7 = 0 -85 + -12m + m2 = 0 Factor a trinomial. (-5 + -1m)(17 + -1m) = 0Subproblem 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 '(17 + -1m)' equal to zero and attempt to solve: Simplifying 17 + -1m = 0 Solving 17 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1m = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1m = 0 + -17 -1m = 0 + -17 Combine like terms: 0 + -17 = -17 -1m = -17 Divide each side by '-1'. m = 17 Simplifying m = 17Solution
m = {-5, 17}
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