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Simplifying (4m + 16)(3m + -18) = 0 Reorder the terms: (16 + 4m)(3m + -18) = 0 Reorder the terms: (16 + 4m)(-18 + 3m) = 0 Multiply (16 + 4m) * (-18 + 3m) (16(-18 + 3m) + 4m * (-18 + 3m)) = 0 ((-18 * 16 + 3m * 16) + 4m * (-18 + 3m)) = 0 ((-288 + 48m) + 4m * (-18 + 3m)) = 0 (-288 + 48m + (-18 * 4m + 3m * 4m)) = 0 (-288 + 48m + (-72m + 12m2)) = 0 Combine like terms: 48m + -72m = -24m (-288 + -24m + 12m2) = 0 Solving -288 + -24m + 12m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '12'. 12(-24 + -2m + m2) = 0 Factor a trinomial. 12((-4 + -1m)(6 + -1m)) = 0 Ignore the factor 12.Subproblem 1
Set the factor '(-4 + -1m)' equal to zero and attempt to solve: Simplifying -4 + -1m = 0 Solving -4 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1m = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1m = 0 + 4 -1m = 0 + 4 Combine like terms: 0 + 4 = 4 -1m = 4 Divide each side by '-1'. m = -4 Simplifying m = -4Subproblem 2
Set the factor '(6 + -1m)' equal to zero and attempt to solve: Simplifying 6 + -1m = 0 Solving 6 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1m = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1m = 0 + -6 -1m = 0 + -6 Combine like terms: 0 + -6 = -6 -1m = -6 Divide each side by '-1'. m = 6 Simplifying m = 6Solution
m = {-4, 6}
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