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Simplifying (2m + -18)(m + 2) = 0 Reorder the terms: (-18 + 2m)(m + 2) = 0 Reorder the terms: (-18 + 2m)(2 + m) = 0 Multiply (-18 + 2m) * (2 + m) (-18(2 + m) + 2m * (2 + m)) = 0 ((2 * -18 + m * -18) + 2m * (2 + m)) = 0 ((-36 + -18m) + 2m * (2 + m)) = 0 (-36 + -18m + (2 * 2m + m * 2m)) = 0 (-36 + -18m + (4m + 2m2)) = 0 Combine like terms: -18m + 4m = -14m (-36 + -14m + 2m2) = 0 Solving -36 + -14m + 2m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2'. 2(-18 + -7m + m2) = 0 Factor a trinomial. 2((-2 + -1m)(9 + -1m)) = 0 Ignore the factor 2.Subproblem 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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