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Simplifying 2m2 + 3m = 88 + -2m Reorder the terms: 3m + 2m2 = 88 + -2m Solving 3m + 2m2 = 88 + -2m Solving for variable 'm'. Reorder the terms: -88 + 3m + 2m + 2m2 = 88 + -2m + -88 + 2m Combine like terms: 3m + 2m = 5m -88 + 5m + 2m2 = 88 + -2m + -88 + 2m Reorder the terms: -88 + 5m + 2m2 = 88 + -88 + -2m + 2m Combine like terms: 88 + -88 = 0 -88 + 5m + 2m2 = 0 + -2m + 2m -88 + 5m + 2m2 = -2m + 2m Combine like terms: -2m + 2m = 0 -88 + 5m + 2m2 = 0 Factor a trinomial. (-8 + -1m)(11 + -2m) = 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 '(11 + -2m)' equal to zero and attempt to solve: Simplifying 11 + -2m = 0 Solving 11 + -2m = 0 Move all terms containing m to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -2m = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -2m = 0 + -11 -2m = 0 + -11 Combine like terms: 0 + -11 = -11 -2m = -11 Divide each side by '-2'. m = 5.5 Simplifying m = 5.5Solution
m = {-8, 5.5}
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