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Simplifying (4m + 8)(m + -3) = 0 Reorder the terms: (8 + 4m)(m + -3) = 0 Reorder the terms: (8 + 4m)(-3 + m) = 0 Multiply (8 + 4m) * (-3 + m) (8(-3 + m) + 4m * (-3 + m)) = 0 ((-3 * 8 + m * 8) + 4m * (-3 + m)) = 0 ((-24 + 8m) + 4m * (-3 + m)) = 0 (-24 + 8m + (-3 * 4m + m * 4m)) = 0 (-24 + 8m + (-12m + 4m2)) = 0 Combine like terms: 8m + -12m = -4m (-24 + -4m + 4m2) = 0 Solving -24 + -4m + 4m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '4'. 4(-6 + -1m + m2) = 0 Factor a trinomial. 4((-2 + -1m)(3 + -1m)) = 0 Ignore the factor 4.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 '(3 + -1m)' equal to zero and attempt to solve: Simplifying 3 + -1m = 0 Solving 3 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1m = 0 + -3 -1m = 0 + -3 Combine like terms: 0 + -3 = -3 -1m = -3 Divide each side by '-1'. m = 3 Simplifying m = 3Solution
m = {-2, 3}
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