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Simplifying -12k2 + k + 20 = 0 Reorder the terms: 20 + k + -12k2 = 0 Solving 20 + k + -12k2 = 0 Solving for variable 'k'. Factor a trinomial. (4 + -3k)(5 + 4k) = 0Subproblem 1
Set the factor '(4 + -3k)' equal to zero and attempt to solve: Simplifying 4 + -3k = 0 Solving 4 + -3k = 0 Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3k = 0 + -4 -3k = 0 + -4 Combine like terms: 0 + -4 = -4 -3k = -4 Divide each side by '-3'. k = 1.333333333 Simplifying k = 1.333333333Subproblem 2
Set the factor '(5 + 4k)' equal to zero and attempt to solve: Simplifying 5 + 4k = 0 Solving 5 + 4k = 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 + 4k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4k = 0 + -5 4k = 0 + -5 Combine like terms: 0 + -5 = -5 4k = -5 Divide each side by '4'. k = -1.25 Simplifying k = -1.25Solution
k = {1.333333333, -1.25}
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