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Simplifying k2 + -3k + -88 = 0 Reorder the terms: -88 + -3k + k2 = 0 Solving -88 + -3k + k2 = 0 Solving for variable 'k'. Factor a trinomial. (-8 + -1k)(11 + -1k) = 0Subproblem 1
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 = -8Subproblem 2
Set the factor '(11 + -1k)' equal to zero and attempt to solve: Simplifying 11 + -1k = 0 Solving 11 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1k = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1k = 0 + -11 -1k = 0 + -11 Combine like terms: 0 + -11 = -11 -1k = -11 Divide each side by '-1'. k = 11 Simplifying k = 11Solution
k = {-8, 11}
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