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Simplifying (3m + 4)(m + 2) = 0 Reorder the terms: (4 + 3m)(m + 2) = 0 Reorder the terms: (4 + 3m)(2 + m) = 0 Multiply (4 + 3m) * (2 + m) (4(2 + m) + 3m * (2 + m)) = 0 ((2 * 4 + m * 4) + 3m * (2 + m)) = 0 ((8 + 4m) + 3m * (2 + m)) = 0 (8 + 4m + (2 * 3m + m * 3m)) = 0 (8 + 4m + (6m + 3m2)) = 0 Combine like terms: 4m + 6m = 10m (8 + 10m + 3m2) = 0 Solving 8 + 10m + 3m2 = 0 Solving for variable 'm'. Factor a trinomial. (2 + m)(4 + 3m) = 0Subproblem 1
Set the factor '(2 + m)' equal to zero and attempt to solve: Simplifying 2 + m = 0 Solving 2 + m = 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 + m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + m = 0 + -2 m = 0 + -2 Combine like terms: 0 + -2 = -2 m = -2 Simplifying m = -2Subproblem 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 = {-2, -1.333333333}
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