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Simplifying (m + 8)(m + -15) = 0 Reorder the terms: (8 + m)(m + -15) = 0 Reorder the terms: (8 + m)(-15 + m) = 0 Multiply (8 + m) * (-15 + m) (8(-15 + m) + m(-15 + m)) = 0 ((-15 * 8 + m * 8) + m(-15 + m)) = 0 ((-120 + 8m) + m(-15 + m)) = 0 (-120 + 8m + (-15 * m + m * m)) = 0 (-120 + 8m + (-15m + m2)) = 0 Combine like terms: 8m + -15m = -7m (-120 + -7m + m2) = 0 Solving -120 + -7m + m2 = 0 Solving for variable 'm'. Factor a trinomial. (-8 + -1m)(15 + -1m) = 0Subproblem 1
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 = -8Subproblem 2
Set the factor '(15 + -1m)' equal to zero and attempt to solve: Simplifying 15 + -1m = 0 Solving 15 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1m = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1m = 0 + -15 -1m = 0 + -15 Combine like terms: 0 + -15 = -15 -1m = -15 Divide each side by '-1'. m = 15 Simplifying m = 15Solution
m = {-8, 15}
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