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Simplifying -6m2 = -11m + -7 Reorder the terms: -6m2 = -7 + -11m Solving -6m2 = -7 + -11m Solving for variable 'm'. Reorder the terms: 7 + 11m + -6m2 = -7 + -11m + 7 + 11m Reorder the terms: 7 + 11m + -6m2 = -7 + 7 + -11m + 11m Combine like terms: -7 + 7 = 0 7 + 11m + -6m2 = 0 + -11m + 11m 7 + 11m + -6m2 = -11m + 11m Combine like terms: -11m + 11m = 0 7 + 11m + -6m2 = 0 Factor a trinomial. (7 + -3m)(1 + 2m) = 0Subproblem 1
Set the factor '(7 + -3m)' equal to zero and attempt to solve: Simplifying 7 + -3m = 0 Solving 7 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3m = 0 + -7 -3m = 0 + -7 Combine like terms: 0 + -7 = -7 -3m = -7 Divide each side by '-3'. m = 2.333333333 Simplifying m = 2.333333333Subproblem 2
Set the factor '(1 + 2m)' equal to zero and attempt to solve: Simplifying 1 + 2m = 0 Solving 1 + 2m = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2m = 0 + -1 2m = 0 + -1 Combine like terms: 0 + -1 = -1 2m = -1 Divide each side by '2'. m = -0.5 Simplifying m = -0.5Solution
m = {2.333333333, -0.5}
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