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Simplifying (m + 15)(m + -17) = 0 Reorder the terms: (15 + m)(m + -17) = 0 Reorder the terms: (15 + m)(-17 + m) = 0 Multiply (15 + m) * (-17 + m) (15(-17 + m) + m(-17 + m)) = 0 ((-17 * 15 + m * 15) + m(-17 + m)) = 0 ((-255 + 15m) + m(-17 + m)) = 0 (-255 + 15m + (-17 * m + m * m)) = 0 (-255 + 15m + (-17m + m2)) = 0 Combine like terms: 15m + -17m = -2m (-255 + -2m + m2) = 0 Solving -255 + -2m + m2 = 0 Solving for variable 'm'. Factor a trinomial. (-15 + -1m)(17 + -1m) = 0Subproblem 1
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 = -15Subproblem 2
Set the factor '(17 + -1m)' equal to zero and attempt to solve: Simplifying 17 + -1m = 0 Solving 17 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1m = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1m = 0 + -17 -1m = 0 + -17 Combine like terms: 0 + -17 = -17 -1m = -17 Divide each side by '-1'. m = 17 Simplifying m = 17Solution
m = {-15, 17}
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