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Simplifying 11m = 14 + 2m2 Solving 11m = 14 + 2m2 Solving for variable 'm'. Reorder the terms: -14 + 11m + -2m2 = 14 + 2m2 + -14 + -2m2 Reorder the terms: -14 + 11m + -2m2 = 14 + -14 + 2m2 + -2m2 Combine like terms: 14 + -14 = 0 -14 + 11m + -2m2 = 0 + 2m2 + -2m2 -14 + 11m + -2m2 = 2m2 + -2m2 Combine like terms: 2m2 + -2m2 = 0 -14 + 11m + -2m2 = 0 Factor a trinomial. (-7 + 2m)(2 + -1m) = 0Subproblem 1
Set the factor '(-7 + 2m)' equal to zero and attempt to solve: Simplifying -7 + 2m = 0 Solving -7 + 2m = 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 + 2m = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 2m = 0 + 7 2m = 0 + 7 Combine like terms: 0 + 7 = 7 2m = 7 Divide each side by '2'. m = 3.5 Simplifying m = 3.5Subproblem 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 = {3.5, 2}
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