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Simplifying 2m2 + -11m + -115 = 6 Reorder the terms: -115 + -11m + 2m2 = 6 Solving -115 + -11m + 2m2 = 6 Solving for variable 'm'. Reorder the terms: -115 + -6 + -11m + 2m2 = 6 + -6 Combine like terms: -115 + -6 = -121 -121 + -11m + 2m2 = 6 + -6 Combine like terms: 6 + -6 = 0 -121 + -11m + 2m2 = 0 Factor a trinomial. (-11 + -2m)(11 + -1m) = 0Subproblem 1
Set the factor '(-11 + -2m)' equal to zero and attempt to solve: Simplifying -11 + -2m = 0 Solving -11 + -2m = 0 Move all terms containing m to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -2m = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -2m = 0 + 11 -2m = 0 + 11 Combine like terms: 0 + 11 = 11 -2m = 11 Divide each side by '-2'. m = -5.5 Simplifying m = -5.5Subproblem 2
Set the factor '(11 + -1m)' equal to zero and attempt to solve: Simplifying 11 + -1m = 0 Solving 11 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1m = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1m = 0 + -11 -1m = 0 + -11 Combine like terms: 0 + -11 = -11 -1m = -11 Divide each side by '-1'. m = 11 Simplifying m = 11Solution
m = {-5.5, 11}
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