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Simplifying (k + 3)(k + 6) = 0 Reorder the terms: (3 + k)(k + 6) = 0 Reorder the terms: (3 + k)(6 + k) = 0 Multiply (3 + k) * (6 + k) (3(6 + k) + k(6 + k)) = 0 ((6 * 3 + k * 3) + k(6 + k)) = 0 ((18 + 3k) + k(6 + k)) = 0 (18 + 3k + (6 * k + k * k)) = 0 (18 + 3k + (6k + k2)) = 0 Combine like terms: 3k + 6k = 9k (18 + 9k + k2) = 0 Solving 18 + 9k + k2 = 0 Solving for variable 'k'. Factor a trinomial. (6 + k)(3 + k) = 0Subproblem 1
Set the factor '(6 + k)' equal to zero and attempt to solve: Simplifying 6 + k = 0 Solving 6 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + k = 0 + -6 Combine like terms: 6 + -6 = 0 0 + k = 0 + -6 k = 0 + -6 Combine like terms: 0 + -6 = -6 k = -6 Simplifying k = -6Subproblem 2
Set the factor '(3 + k)' equal to zero and attempt to solve: Simplifying 3 + k = 0 Solving 3 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + k = 0 + -3 Combine like terms: 3 + -3 = 0 0 + k = 0 + -3 k = 0 + -3 Combine like terms: 0 + -3 = -3 k = -3 Simplifying k = -3Solution
k = {-6, -3}
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