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Simplifying k2 + -18k + 56 = -9 Reorder the terms: 56 + -18k + k2 = -9 Solving 56 + -18k + k2 = -9 Solving for variable 'k'. Reorder the terms: 56 + 9 + -18k + k2 = -9 + 9 Combine like terms: 56 + 9 = 65 65 + -18k + k2 = -9 + 9 Combine like terms: -9 + 9 = 0 65 + -18k + k2 = 0 Factor a trinomial. (5 + -1k)(13 + -1k) = 0Subproblem 1
Set the factor '(5 + -1k)' equal to zero and attempt to solve: Simplifying 5 + -1k = 0 Solving 5 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1k = 0 + -5 -1k = 0 + -5 Combine like terms: 0 + -5 = -5 -1k = -5 Divide each side by '-1'. k = 5 Simplifying k = 5Subproblem 2
Set the factor '(13 + -1k)' equal to zero and attempt to solve: Simplifying 13 + -1k = 0 Solving 13 + -1k = 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 + -1k = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1k = 0 + -13 -1k = 0 + -13 Combine like terms: 0 + -13 = -13 -1k = -13 Divide each side by '-1'. k = 13 Simplifying k = 13Solution
k = {5, 13}
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