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Simplifying 51 + -20k = -1k2 Solving 51 + -20k = -1k2 Solving for variable 'k'. Combine like terms: -1k2 + k2 = 0 51 + -20k + k2 = 0 Factor a trinomial. (3 + -1k)(17 + -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 '(17 + -1k)' equal to zero and attempt to solve: Simplifying 17 + -1k = 0 Solving 17 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1k = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1k = 0 + -17 -1k = 0 + -17 Combine like terms: 0 + -17 = -17 -1k = -17 Divide each side by '-1'. k = 17 Simplifying k = 17Solution
k = {3, 17}
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