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Simplifying k2 + -22k + -23 = 0 Reorder the terms: -23 + -22k + k2 = 0 Solving -23 + -22k + k2 = 0 Solving for variable 'k'. Factor a trinomial. (-1 + -1k)(23 + -1k) = 0Subproblem 1
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 = -1Subproblem 2
Set the factor '(23 + -1k)' equal to zero and attempt to solve: Simplifying 23 + -1k = 0 Solving 23 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -1k = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -1k = 0 + -23 -1k = 0 + -23 Combine like terms: 0 + -23 = -23 -1k = -23 Divide each side by '-1'. k = 23 Simplifying k = 23Solution
k = {-1, 23}
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