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Simplifying k2 + -2k + -99 = 0 Reorder the terms: -99 + -2k + k2 = 0 Solving -99 + -2k + k2 = 0 Solving for variable 'k'. Factor a trinomial. (-9 + -1k)(11 + -1k) = 0Subproblem 1
Set the factor '(-9 + -1k)' equal to zero and attempt to solve: Simplifying -9 + -1k = 0 Solving -9 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1k = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1k = 0 + 9 -1k = 0 + 9 Combine like terms: 0 + 9 = 9 -1k = 9 Divide each side by '-1'. k = -9 Simplifying k = -9Subproblem 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 = {-9, 11}
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