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Simplifying k2 + 14k + -240 = 0 Reorder the terms: -240 + 14k + k2 = 0 Solving -240 + 14k + k2 = 0 Solving for variable 'k'. Factor a trinomial. (-24 + -1k)(10 + -1k) = 0Subproblem 1
Set the factor '(-24 + -1k)' equal to zero and attempt to solve: Simplifying -24 + -1k = 0 Solving -24 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -1k = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -1k = 0 + 24 -1k = 0 + 24 Combine like terms: 0 + 24 = 24 -1k = 24 Divide each side by '-1'. k = -24 Simplifying k = -24Subproblem 2
Set the factor '(10 + -1k)' equal to zero and attempt to solve: Simplifying 10 + -1k = 0 Solving 10 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1k = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1k = 0 + -10 -1k = 0 + -10 Combine like terms: 0 + -10 = -10 -1k = -10 Divide each side by '-1'. k = 10 Simplifying k = 10Solution
k = {-24, 10}
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