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Simplifying 11m2 = 31m + 6 Reorder the terms: 11m2 = 6 + 31m Solving 11m2 = 6 + 31m Solving for variable 'm'. Reorder the terms: -6 + -31m + 11m2 = 6 + 31m + -6 + -31m Reorder the terms: -6 + -31m + 11m2 = 6 + -6 + 31m + -31m Combine like terms: 6 + -6 = 0 -6 + -31m + 11m2 = 0 + 31m + -31m -6 + -31m + 11m2 = 31m + -31m Combine like terms: 31m + -31m = 0 -6 + -31m + 11m2 = 0 Factor a trinomial. (-2 + -11m)(3 + -1m) = 0Subproblem 1
Set the factor '(-2 + -11m)' equal to zero and attempt to solve: Simplifying -2 + -11m = 0 Solving -2 + -11m = 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 + -11m = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -11m = 0 + 2 -11m = 0 + 2 Combine like terms: 0 + 2 = 2 -11m = 2 Divide each side by '-11'. m = -0.1818181818 Simplifying m = -0.1818181818Subproblem 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 = {-0.1818181818, 3}
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