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Simplifying 3m2 + 8m = 115 Reorder the terms: 8m + 3m2 = 115 Solving 8m + 3m2 = 115 Solving for variable 'm'. Reorder the terms: -115 + 8m + 3m2 = 115 + -115 Combine like terms: 115 + -115 = 0 -115 + 8m + 3m2 = 0 Factor a trinomial. (-23 + -3m)(5 + -1m) = 0Subproblem 1
Set the factor '(-23 + -3m)' equal to zero and attempt to solve: Simplifying -23 + -3m = 0 Solving -23 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + -3m = 0 + 23 Combine like terms: -23 + 23 = 0 0 + -3m = 0 + 23 -3m = 0 + 23 Combine like terms: 0 + 23 = 23 -3m = 23 Divide each side by '-3'. m = -7.666666667 Simplifying m = -7.666666667Subproblem 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 = {-7.666666667, 5}
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