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Simplifying k2 + -14k + -51 = 0 Reorder the terms: -51 + -14k + k2 = 0 Solving -51 + -14k + k2 = 0 Solving for variable 'k'. 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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