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Simplifying k2 + k + -11 = 261 Reorder the terms: -11 + k + k2 = 261 Solving -11 + k + k2 = 261 Solving for variable 'k'. Reorder the terms: -11 + -261 + k + k2 = 261 + -261 Combine like terms: -11 + -261 = -272 -272 + k + k2 = 261 + -261 Combine like terms: 261 + -261 = 0 -272 + k + k2 = 0 Factor a trinomial. (-17 + -1k)(16 + -1k) = 0Subproblem 1
Set the factor '(-17 + -1k)' equal to zero and attempt to solve: Simplifying -17 + -1k = 0 Solving -17 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -1k = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -1k = 0 + 17 -1k = 0 + 17 Combine like terms: 0 + 17 = 17 -1k = 17 Divide each side by '-1'. k = -17 Simplifying k = -17Subproblem 2
Set the factor '(16 + -1k)' equal to zero and attempt to solve: Simplifying 16 + -1k = 0 Solving 16 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1k = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1k = 0 + -16 -1k = 0 + -16 Combine like terms: 0 + -16 = -16 -1k = -16 Divide each side by '-1'. k = 16 Simplifying k = 16Solution
k = {-17, 16}
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