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Simplifying (3m + 4)(m + 8) = 0 Reorder the terms: (4 + 3m)(m + 8) = 0 Reorder the terms: (4 + 3m)(8 + m) = 0 Multiply (4 + 3m) * (8 + m) (4(8 + m) + 3m * (8 + m)) = 0 ((8 * 4 + m * 4) + 3m * (8 + m)) = 0 ((32 + 4m) + 3m * (8 + m)) = 0 (32 + 4m + (8 * 3m + m * 3m)) = 0 (32 + 4m + (24m + 3m2)) = 0 Combine like terms: 4m + 24m = 28m (32 + 28m + 3m2) = 0 Solving 32 + 28m + 3m2 = 0 Solving for variable 'm'. Factor a trinomial. (8 + m)(4 + 3m) = 0Subproblem 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 '(4 + 3m)' equal to zero and attempt to solve: Simplifying 4 + 3m = 0 Solving 4 + 3m = 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 + 3m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3m = 0 + -4 3m = 0 + -4 Combine like terms: 0 + -4 = -4 3m = -4 Divide each side by '3'. m = -1.333333333 Simplifying m = -1.333333333Solution
m = {-8, -1.333333333}
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