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Simplifying m2 + 6m + 8 = 120 Reorder the terms: 8 + 6m + m2 = 120 Solving 8 + 6m + m2 = 120 Solving for variable 'm'. Reorder the terms: 8 + -120 + 6m + m2 = 120 + -120 Combine like terms: 8 + -120 = -112 -112 + 6m + m2 = 120 + -120 Combine like terms: 120 + -120 = 0 -112 + 6m + m2 = 0 Factor a trinomial. (-14 + -1m)(8 + -1m) = 0Subproblem 1
Set the factor '(-14 + -1m)' equal to zero and attempt to solve: Simplifying -14 + -1m = 0 Solving -14 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -1m = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -1m = 0 + 14 -1m = 0 + 14 Combine like terms: 0 + 14 = 14 -1m = 14 Divide each side by '-1'. m = -14 Simplifying m = -14Subproblem 2
Set the factor '(8 + -1m)' equal to zero and attempt to solve: Simplifying 8 + -1m = 0 Solving 8 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1m = 0 + -8 -1m = 0 + -8 Combine like terms: 0 + -8 = -8 -1m = -8 Divide each side by '-1'. m = 8 Simplifying m = 8Solution
m = {-14, 8}
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