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Simplifying (k + 12)(k + 13) = 0 Reorder the terms: (12 + k)(k + 13) = 0 Reorder the terms: (12 + k)(13 + k) = 0 Multiply (12 + k) * (13 + k) (12(13 + k) + k(13 + k)) = 0 ((13 * 12 + k * 12) + k(13 + k)) = 0 ((156 + 12k) + k(13 + k)) = 0 (156 + 12k + (13 * k + k * k)) = 0 (156 + 12k + (13k + k2)) = 0 Combine like terms: 12k + 13k = 25k (156 + 25k + k2) = 0 Solving 156 + 25k + k2 = 0 Solving for variable 'k'. Factor a trinomial. (13 + k)(12 + k) = 0Subproblem 1
Set the factor '(13 + k)' equal to zero and attempt to solve: Simplifying 13 + k = 0 Solving 13 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + k = 0 + -13 Combine like terms: 13 + -13 = 0 0 + k = 0 + -13 k = 0 + -13 Combine like terms: 0 + -13 = -13 k = -13 Simplifying k = -13Subproblem 2
Set the factor '(12 + k)' equal to zero and attempt to solve: Simplifying 12 + k = 0 Solving 12 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + k = 0 + -12 Combine like terms: 12 + -12 = 0 0 + k = 0 + -12 k = 0 + -12 Combine like terms: 0 + -12 = -12 k = -12 Simplifying k = -12Solution
k = {-13, -12}
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