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Simplifying 4k2 + k + -14 = 0 Reorder the terms: -14 + k + 4k2 = 0 Solving -14 + k + 4k2 = 0 Solving for variable 'k'. Factor a trinomial. (-2 + -1k)(7 + -4k) = 0Subproblem 1
Set the factor '(-2 + -1k)' equal to zero and attempt to solve: Simplifying -2 + -1k = 0 Solving -2 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1k = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1k = 0 + 2 -1k = 0 + 2 Combine like terms: 0 + 2 = 2 -1k = 2 Divide each side by '-1'. k = -2 Simplifying k = -2Subproblem 2
Set the factor '(7 + -4k)' equal to zero and attempt to solve: Simplifying 7 + -4k = 0 Solving 7 + -4k = 0 Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -4k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4k = 0 + -7 -4k = 0 + -7 Combine like terms: 0 + -7 = -7 -4k = -7 Divide each side by '-4'. k = 1.75 Simplifying k = 1.75Solution
k = {-2, 1.75}
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