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Simplifying m2 + 8m = 84 Reorder the terms: 8m + m2 = 84 Solving 8m + m2 = 84 Solving for variable 'm'. Reorder the terms: -84 + 8m + m2 = 84 + -84 Combine like terms: 84 + -84 = 0 -84 + 8m + m2 = 0 Factor a trinomial. (-14 + -1m)(6 + -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 '(6 + -1m)' equal to zero and attempt to solve: Simplifying 6 + -1m = 0 Solving 6 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1m = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1m = 0 + -6 -1m = 0 + -6 Combine like terms: 0 + -6 = -6 -1m = -6 Divide each side by '-1'. m = 6 Simplifying m = 6Solution
m = {-14, 6}
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