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Simplifying k2 + -10k + 23 = 2 Reorder the terms: 23 + -10k + k2 = 2 Solving 23 + -10k + k2 = 2 Solving for variable 'k'. Reorder the terms: 23 + -2 + -10k + k2 = 2 + -2 Combine like terms: 23 + -2 = 21 21 + -10k + k2 = 2 + -2 Combine like terms: 2 + -2 = 0 21 + -10k + k2 = 0 Factor a trinomial. (3 + -1k)(7 + -1k) = 0Subproblem 1
Set the factor '(3 + -1k)' equal to zero and attempt to solve: Simplifying 3 + -1k = 0 Solving 3 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1k = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1k = 0 + -3 -1k = 0 + -3 Combine like terms: 0 + -3 = -3 -1k = -3 Divide each side by '-1'. k = 3 Simplifying k = 3Subproblem 2
Set the factor '(7 + -1k)' equal to zero and attempt to solve: Simplifying 7 + -1k = 0 Solving 7 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1k = 0 + -7 -1k = 0 + -7 Combine like terms: 0 + -7 = -7 -1k = -7 Divide each side by '-1'. k = 7 Simplifying k = 7Solution
k = {3, 7}
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