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Simplifying (4m + 2)(m + 8) = 0 Reorder the terms: (2 + 4m)(m + 8) = 0 Reorder the terms: (2 + 4m)(8 + m) = 0 Multiply (2 + 4m) * (8 + m) (2(8 + m) + 4m * (8 + m)) = 0 ((8 * 2 + m * 2) + 4m * (8 + m)) = 0 ((16 + 2m) + 4m * (8 + m)) = 0 (16 + 2m + (8 * 4m + m * 4m)) = 0 (16 + 2m + (32m + 4m2)) = 0 Combine like terms: 2m + 32m = 34m (16 + 34m + 4m2) = 0 Solving 16 + 34m + 4m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2'. 2(8 + 17m + 2m2) = 0 Factor a trinomial. 2((8 + m)(1 + 2m)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(8 + m)' equal to zero and attempt to solve: Simplifying 8 + m = 0 Solving 8 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + m = 0 + -8 m = 0 + -8 Combine like terms: 0 + -8 = -8 m = -8 Simplifying m = -8Subproblem 2
Set the factor '(1 + 2m)' equal to zero and attempt to solve: Simplifying 1 + 2m = 0 Solving 1 + 2m = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2m = 0 + -1 2m = 0 + -1 Combine like terms: 0 + -1 = -1 2m = -1 Divide each side by '2'. m = -0.5 Simplifying m = -0.5Solution
m = {-8, -0.5}
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