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Simplifying k2 + 14k + -95 = 0 Reorder the terms: -95 + 14k + k2 = 0 Solving -95 + 14k + k2 = 0 Solving for variable 'k'. Factor a trinomial. (-19 + -1k)(5 + -1k) = 0Subproblem 1
Set the factor '(-19 + -1k)' equal to zero and attempt to solve: Simplifying -19 + -1k = 0 Solving -19 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -1k = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -1k = 0 + 19 -1k = 0 + 19 Combine like terms: 0 + 19 = 19 -1k = 19 Divide each side by '-1'. k = -19 Simplifying k = -19Subproblem 2
Set the factor '(5 + -1k)' equal to zero and attempt to solve: Simplifying 5 + -1k = 0 Solving 5 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1k = 0 + -5 -1k = 0 + -5 Combine like terms: 0 + -5 = -5 -1k = -5 Divide each side by '-1'. k = 5 Simplifying k = 5Solution
k = {-19, 5}
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