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Simplifying 3m2 + -11m + 15 = 5 Reorder the terms: 15 + -11m + 3m2 = 5 Solving 15 + -11m + 3m2 = 5 Solving for variable 'm'. Reorder the terms: 15 + -5 + -11m + 3m2 = 5 + -5 Combine like terms: 15 + -5 = 10 10 + -11m + 3m2 = 5 + -5 Combine like terms: 5 + -5 = 0 10 + -11m + 3m2 = 0 Factor a trinomial. (5 + -3m)(2 + -1m) = 0Subproblem 1
Set the factor '(5 + -3m)' equal to zero and attempt to solve: Simplifying 5 + -3m = 0 Solving 5 + -3m = 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 + -3m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3m = 0 + -5 -3m = 0 + -5 Combine like terms: 0 + -5 = -5 -3m = -5 Divide each side by '-3'. m = 1.666666667 Simplifying m = 1.666666667Subproblem 2
Set the factor '(2 + -1m)' equal to zero and attempt to solve: Simplifying 2 + -1m = 0 Solving 2 + -1m = 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 + -1m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1m = 0 + -2 -1m = 0 + -2 Combine like terms: 0 + -2 = -2 -1m = -2 Divide each side by '-1'. m = 2 Simplifying m = 2Solution
m = {1.666666667, 2}
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