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Simplifying 9m2 + -17m = -10 + 6m2 Reorder the terms: -17m + 9m2 = -10 + 6m2 Solving -17m + 9m2 = -10 + 6m2 Solving for variable 'm'. Reorder the terms: 10 + -17m + 9m2 + -6m2 = -10 + 6m2 + 10 + -6m2 Combine like terms: 9m2 + -6m2 = 3m2 10 + -17m + 3m2 = -10 + 6m2 + 10 + -6m2 Reorder the terms: 10 + -17m + 3m2 = -10 + 10 + 6m2 + -6m2 Combine like terms: -10 + 10 = 0 10 + -17m + 3m2 = 0 + 6m2 + -6m2 10 + -17m + 3m2 = 6m2 + -6m2 Combine like terms: 6m2 + -6m2 = 0 10 + -17m + 3m2 = 0 Factor a trinomial. (2 + -3m)(5 + -1m) = 0Subproblem 1
Set the factor '(2 + -3m)' equal to zero and attempt to solve: Simplifying 2 + -3m = 0 Solving 2 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3m = 0 + -2 -3m = 0 + -2 Combine like terms: 0 + -2 = -2 -3m = -2 Divide each side by '-3'. m = 0.6666666667 Simplifying m = 0.6666666667Subproblem 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 = {0.6666666667, 5}
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