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Simplifying 5k2 + 37k + -24 = 0 Reorder the terms: -24 + 37k + 5k2 = 0 Solving -24 + 37k + 5k2 = 0 Solving for variable 'k'. Factor a trinomial. (-8 + -1k)(3 + -5k) = 0Subproblem 1
Set the factor '(-8 + -1k)' equal to zero and attempt to solve: Simplifying -8 + -1k = 0 Solving -8 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1k = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1k = 0 + 8 -1k = 0 + 8 Combine like terms: 0 + 8 = 8 -1k = 8 Divide each side by '-1'. k = -8 Simplifying k = -8Subproblem 2
Set the factor '(3 + -5k)' equal to zero and attempt to solve: Simplifying 3 + -5k = 0 Solving 3 + -5k = 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 + -5k = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5k = 0 + -3 -5k = 0 + -3 Combine like terms: 0 + -3 = -3 -5k = -3 Divide each side by '-5'. k = 0.6 Simplifying k = 0.6Solution
k = {-8, 0.6}
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