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Simplifying (m + -5)(m + -13) = 0 Reorder the terms: (-5 + m)(m + -13) = 0 Reorder the terms: (-5 + m)(-13 + m) = 0 Multiply (-5 + m) * (-13 + m) (-5(-13 + m) + m(-13 + m)) = 0 ((-13 * -5 + m * -5) + m(-13 + m)) = 0 ((65 + -5m) + m(-13 + m)) = 0 (65 + -5m + (-13 * m + m * m)) = 0 (65 + -5m + (-13m + m2)) = 0 Combine like terms: -5m + -13m = -18m (65 + -18m + m2) = 0 Solving 65 + -18m + m2 = 0 Solving for variable 'm'. Factor a trinomial. (5 + -1m)(13 + -1m) = 0Subproblem 1
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 = 5Subproblem 2
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 = 13Solution
m = {5, 13}
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