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Simplifying k2 + -11k + 19 = -5 Reorder the terms: 19 + -11k + k2 = -5 Solving 19 + -11k + k2 = -5 Solving for variable 'k'. Reorder the terms: 19 + 5 + -11k + k2 = -5 + 5 Combine like terms: 19 + 5 = 24 24 + -11k + k2 = -5 + 5 Combine like terms: -5 + 5 = 0 24 + -11k + k2 = 0 Factor a trinomial. (3 + -1k)(8 + -1k) = 0Subproblem 1
Set the factor '(3 + -1k)' equal to zero and attempt to solve: Simplifying 3 + -1k = 0 Solving 3 + -1k = 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 + -1k = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1k = 0 + -3 -1k = 0 + -3 Combine like terms: 0 + -3 = -3 -1k = -3 Divide each side by '-1'. k = 3 Simplifying k = 3Subproblem 2
Set the factor '(8 + -1k)' equal to zero and attempt to solve: Simplifying 8 + -1k = 0 Solving 8 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1k = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1k = 0 + -8 -1k = 0 + -8 Combine like terms: 0 + -8 = -8 -1k = -8 Divide each side by '-1'. k = 8 Simplifying k = 8Solution
k = {3, 8}
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