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Simplifying 6m2 = 23m + -15 Reorder the terms: 6m2 = -15 + 23m Solving 6m2 = -15 + 23m Solving for variable 'm'. Reorder the terms: 15 + -23m + 6m2 = -15 + 23m + 15 + -23m Reorder the terms: 15 + -23m + 6m2 = -15 + 15 + 23m + -23m Combine like terms: -15 + 15 = 0 15 + -23m + 6m2 = 0 + 23m + -23m 15 + -23m + 6m2 = 23m + -23m Combine like terms: 23m + -23m = 0 15 + -23m + 6m2 = 0 Factor a trinomial. (5 + -6m)(3 + -1m) = 0Subproblem 1
Set the factor '(5 + -6m)' equal to zero and attempt to solve: Simplifying 5 + -6m = 0 Solving 5 + -6m = 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 + -6m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6m = 0 + -5 -6m = 0 + -5 Combine like terms: 0 + -5 = -5 -6m = -5 Divide each side by '-6'. m = 0.8333333333 Simplifying m = 0.8333333333Subproblem 2
Set the factor '(3 + -1m)' equal to zero and attempt to solve: Simplifying 3 + -1m = 0 Solving 3 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1m = 0 + -3 -1m = 0 + -3 Combine like terms: 0 + -3 = -3 -1m = -3 Divide each side by '-1'. m = 3 Simplifying m = 3Solution
m = {0.8333333333, 3}
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