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