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Simplifying (k + 4)(3k + 2) = 0 Reorder the terms: (4 + k)(3k + 2) = 0 Reorder the terms: (4 + k)(2 + 3k) = 0 Multiply (4 + k) * (2 + 3k) (4(2 + 3k) + k(2 + 3k)) = 0 ((2 * 4 + 3k * 4) + k(2 + 3k)) = 0 ((8 + 12k) + k(2 + 3k)) = 0 (8 + 12k + (2 * k + 3k * k)) = 0 (8 + 12k + (2k + 3k2)) = 0 Combine like terms: 12k + 2k = 14k (8 + 14k + 3k2) = 0 Solving 8 + 14k + 3k2 = 0 Solving for variable 'k'. Factor a trinomial. (4 + k)(2 + 3k) = 0Subproblem 1
Set the factor '(4 + k)' equal to zero and attempt to solve: Simplifying 4 + k = 0 Solving 4 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + k = 0 + -4 k = 0 + -4 Combine like terms: 0 + -4 = -4 k = -4 Simplifying k = -4Subproblem 2
Set the factor '(2 + 3k)' equal to zero and attempt to solve: Simplifying 2 + 3k = 0 Solving 2 + 3k = 0 Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3k = 0 + -2 3k = 0 + -2 Combine like terms: 0 + -2 = -2 3k = -2 Divide each side by '3'. k = -0.6666666667 Simplifying k = -0.6666666667Solution
k = {-4, -0.6666666667}
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