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Simplifying 2m2 = 56 + 9m Solving 2m2 = 56 + 9m Solving for variable 'm'. Reorder the terms: -56 + -9m + 2m2 = 56 + 9m + -56 + -9m Reorder the terms: -56 + -9m + 2m2 = 56 + -56 + 9m + -9m Combine like terms: 56 + -56 = 0 -56 + -9m + 2m2 = 0 + 9m + -9m -56 + -9m + 2m2 = 9m + -9m Combine like terms: 9m + -9m = 0 -56 + -9m + 2m2 = 0 Factor a trinomial. (-7 + -2m)(8 + -1m) = 0Subproblem 1
Set the factor '(-7 + -2m)' equal to zero and attempt to solve: Simplifying -7 + -2m = 0 Solving -7 + -2m = 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 + -2m = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2m = 0 + 7 -2m = 0 + 7 Combine like terms: 0 + 7 = 7 -2m = 7 Divide each side by '-2'. m = -3.5 Simplifying m = -3.5Subproblem 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 = {-3.5, 8}
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