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Simplifying m2 + 8m = 65 Reorder the terms: 8m + m2 = 65 Solving 8m + m2 = 65 Solving for variable 'm'. Reorder the terms: -65 + 8m + m2 = 65 + -65 Combine like terms: 65 + -65 = 0 -65 + 8m + m2 = 0 Factor a trinomial. (-13 + -1m)(5 + -1m) = 0Subproblem 1
Set the factor '(-13 + -1m)' equal to zero and attempt to solve: Simplifying -13 + -1m = 0 Solving -13 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -1m = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -1m = 0 + 13 -1m = 0 + 13 Combine like terms: 0 + 13 = 13 -1m = 13 Divide each side by '-1'. m = -13 Simplifying m = -13Subproblem 2
Set the factor '(5 + -1m)' equal to zero and attempt to solve: Simplifying 5 + -1m = 0 Solving 5 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1m = 0 + -5 -1m = 0 + -5 Combine like terms: 0 + -5 = -5 -1m = -5 Divide each side by '-1'. m = 5 Simplifying m = 5Solution
m = {-13, 5}
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