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Simplifying 5k2 + -13k + -6 = 0 Reorder the terms: -6 + -13k + 5k2 = 0 Solving -6 + -13k + 5k2 = 0 Solving for variable 'k'. Factor a trinomial. (-2 + -5k)(3 + -1k) = 0Subproblem 1
Set the factor '(-2 + -5k)' equal to zero and attempt to solve: Simplifying -2 + -5k = 0 Solving -2 + -5k = 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 + -5k = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5k = 0 + 2 -5k = 0 + 2 Combine like terms: 0 + 2 = 2 -5k = 2 Divide each side by '-5'. k = -0.4 Simplifying k = -0.4Subproblem 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 = {-0.4, 3}
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