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Simplifying (k + 9)(k + 2) = 0 Reorder the terms: (9 + k)(k + 2) = 0 Reorder the terms: (9 + k)(2 + k) = 0 Multiply (9 + k) * (2 + k) (9(2 + k) + k(2 + k)) = 0 ((2 * 9 + k * 9) + k(2 + k)) = 0 ((18 + 9k) + k(2 + k)) = 0 (18 + 9k + (2 * k + k * k)) = 0 (18 + 9k + (2k + k2)) = 0 Combine like terms: 9k + 2k = 11k (18 + 11k + k2) = 0 Solving 18 + 11k + k2 = 0 Solving for variable 'k'. Factor a trinomial. (9 + k)(2 + k) = 0Subproblem 1
Set the factor '(9 + k)' equal to zero and attempt to solve: Simplifying 9 + k = 0 Solving 9 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + k = 0 + -9 Combine like terms: 9 + -9 = 0 0 + k = 0 + -9 k = 0 + -9 Combine like terms: 0 + -9 = -9 k = -9 Simplifying k = -9Subproblem 2
Set the factor '(2 + k)' equal to zero and attempt to solve: Simplifying 2 + k = 0 Solving 2 + k = 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 + k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + k = 0 + -2 k = 0 + -2 Combine like terms: 0 + -2 = -2 k = -2 Simplifying k = -2Solution
k = {-9, -2}
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