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Simplifying 5k2 + -27k + -56 = 0 Reorder the terms: -56 + -27k + 5k2 = 0 Solving -56 + -27k + 5k2 = 0 Solving for variable 'k'. Factor a trinomial. (-8 + -5k)(7 + -1k) = 0Subproblem 1
Set the factor '(-8 + -5k)' equal to zero and attempt to solve: Simplifying -8 + -5k = 0 Solving -8 + -5k = 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 + -5k = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -5k = 0 + 8 -5k = 0 + 8 Combine like terms: 0 + 8 = 8 -5k = 8 Divide each side by '-5'. k = -1.6 Simplifying k = -1.6Subproblem 2
Set the factor '(7 + -1k)' equal to zero and attempt to solve: Simplifying 7 + -1k = 0 Solving 7 + -1k = 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 + -1k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1k = 0 + -7 -1k = 0 + -7 Combine like terms: 0 + -7 = -7 -1k = -7 Divide each side by '-1'. k = 7 Simplifying k = 7Solution
k = {-1.6, 7}
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