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Simplifying 4k2 + k + -39 = 0 Reorder the terms: -39 + k + 4k2 = 0 Solving -39 + k + 4k2 = 0 Solving for variable 'k'. Factor a trinomial. (-13 + -4k)(3 + -1k) = 0Subproblem 1
Set the factor '(-13 + -4k)' equal to zero and attempt to solve: Simplifying -13 + -4k = 0 Solving -13 + -4k = 0 Move all terms containing k to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -4k = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -4k = 0 + 13 -4k = 0 + 13 Combine like terms: 0 + 13 = 13 -4k = 13 Divide each side by '-4'. k = -3.25 Simplifying k = -3.25Subproblem 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 = {-3.25, 3}
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