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Simplifying 2m2 + m = 136 Reorder the terms: m + 2m2 = 136 Solving m + 2m2 = 136 Solving for variable 'm'. Reorder the terms: -136 + m + 2m2 = 136 + -136 Combine like terms: 136 + -136 = 0 -136 + m + 2m2 = 0 Factor a trinomial. (-17 + -2m)(8 + -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 '(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 = 8Solution
m = {-8.5, 8}
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