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Simplifying (m + 2)(m + -9) = 0 Reorder the terms: (2 + m)(m + -9) = 0 Reorder the terms: (2 + m)(-9 + m) = 0 Multiply (2 + m) * (-9 + m) (2(-9 + m) + m(-9 + m)) = 0 ((-9 * 2 + m * 2) + m(-9 + m)) = 0 ((-18 + 2m) + m(-9 + m)) = 0 (-18 + 2m + (-9 * m + m * m)) = 0 (-18 + 2m + (-9m + m2)) = 0 Combine like terms: 2m + -9m = -7m (-18 + -7m + m2) = 0 Solving -18 + -7m + m2 = 0 Solving for variable 'm'. Factor a trinomial. (-2 + -1m)(9 + -1m) = 0Subproblem 1
Set the factor '(-2 + -1m)' equal to zero and attempt to solve: Simplifying -2 + -1m = 0 Solving -2 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1m = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1m = 0 + 2 -1m = 0 + 2 Combine like terms: 0 + 2 = 2 -1m = 2 Divide each side by '-1'. m = -2 Simplifying m = -2Subproblem 2
Set the factor '(9 + -1m)' equal to zero and attempt to solve: Simplifying 9 + -1m = 0 Solving 9 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1m = 0 + -9 -1m = 0 + -9 Combine like terms: 0 + -9 = -9 -1m = -9 Divide each side by '-1'. m = 9 Simplifying m = 9Solution
m = {-2, 9}
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