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Simplifying 2m2 = 85 + -7m Solving 2m2 = 85 + -7m Solving for variable 'm'. Reorder the terms: -85 + 7m + 2m2 = 85 + -7m + -85 + 7m Reorder the terms: -85 + 7m + 2m2 = 85 + -85 + -7m + 7m Combine like terms: 85 + -85 = 0 -85 + 7m + 2m2 = 0 + -7m + 7m -85 + 7m + 2m2 = -7m + 7m Combine like terms: -7m + 7m = 0 -85 + 7m + 2m2 = 0 Factor a trinomial. (-17 + -2m)(5 + -1m) = 0Subproblem 1
Set the factor '(-17 + -2m)' equal to zero and attempt to solve: Simplifying -17 + -2m = 0 Solving -17 + -2m = 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 + -2m = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -2m = 0 + 17 -2m = 0 + 17 Combine like terms: 0 + 17 = 17 -2m = 17 Divide each side by '-2'. m = -8.5 Simplifying m = -8.5Subproblem 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 = {-8.5, 5}
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