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Simplifying k2 + -20k + 39 = 3 Reorder the terms: 39 + -20k + k2 = 3 Solving 39 + -20k + k2 = 3 Solving for variable 'k'. Reorder the terms: 39 + -3 + -20k + k2 = 3 + -3 Combine like terms: 39 + -3 = 36 36 + -20k + k2 = 3 + -3 Combine like terms: 3 + -3 = 0 36 + -20k + k2 = 0 Factor a trinomial. (2 + -1k)(18 + -1k) = 0Subproblem 1
Set the factor '(2 + -1k)' equal to zero and attempt to solve: Simplifying 2 + -1k = 0 Solving 2 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1k = 0 + -2 -1k = 0 + -2 Combine like terms: 0 + -2 = -2 -1k = -2 Divide each side by '-1'. k = 2 Simplifying k = 2Subproblem 2
Set the factor '(18 + -1k)' equal to zero and attempt to solve: Simplifying 18 + -1k = 0 Solving 18 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1k = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1k = 0 + -18 -1k = 0 + -18 Combine like terms: 0 + -18 = -18 -1k = -18 Divide each side by '-1'. k = 18 Simplifying k = 18Solution
k = {2, 18}
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