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Simplifying k2 + 14k + -54 = -3 Reorder the terms: -54 + 14k + k2 = -3 Solving -54 + 14k + k2 = -3 Solving for variable 'k'. Reorder the terms: -54 + 3 + 14k + k2 = -3 + 3 Combine like terms: -54 + 3 = -51 -51 + 14k + k2 = -3 + 3 Combine like terms: -3 + 3 = 0 -51 + 14k + k2 = 0 Factor a trinomial. (-17 + -1k)(3 + -1k) = 0Subproblem 1
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 = -17Subproblem 2
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 = 3Solution
k = {-17, 3}
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