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Simplifying 2m2 + 11m = 63 Reorder the terms: 11m + 2m2 = 63 Solving 11m + 2m2 = 63 Solving for variable 'm'. Reorder the terms: -63 + 11m + 2m2 = 63 + -63 Combine like terms: 63 + -63 = 0 -63 + 11m + 2m2 = 0 Factor a trinomial. (-9 + -1m)(7 + -2m) = 0Subproblem 1
Set the factor '(-9 + -1m)' equal to zero and attempt to solve: Simplifying -9 + -1m = 0 Solving -9 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1m = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1m = 0 + 9 -1m = 0 + 9 Combine like terms: 0 + 9 = 9 -1m = 9 Divide each side by '-1'. m = -9 Simplifying m = -9Subproblem 2
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 = 3.5Solution
m = {-9, 3.5}
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