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Simplifying -8m2 = -185 + -3m Solving -8m2 = -185 + -3m Solving for variable 'm'. Reorder the terms: 185 + 3m + -8m2 = -185 + -3m + 185 + 3m Reorder the terms: 185 + 3m + -8m2 = -185 + 185 + -3m + 3m Combine like terms: -185 + 185 = 0 185 + 3m + -8m2 = 0 + -3m + 3m 185 + 3m + -8m2 = -3m + 3m Combine like terms: -3m + 3m = 0 185 + 3m + -8m2 = 0 Factor a trinomial. (5 + -1m)(37 + 8m) = 0Subproblem 1
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 = 5Subproblem 2
Set the factor '(37 + 8m)' equal to zero and attempt to solve: Simplifying 37 + 8m = 0 Solving 37 + 8m = 0 Move all terms containing m to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + 8m = 0 + -37 Combine like terms: 37 + -37 = 0 0 + 8m = 0 + -37 8m = 0 + -37 Combine like terms: 0 + -37 = -37 8m = -37 Divide each side by '8'. m = -4.625 Simplifying m = -4.625Solution
m = {5, -4.625}
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