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Simplifying 5k2 + 2k = 88 Reorder the terms: 2k + 5k2 = 88 Solving 2k + 5k2 = 88 Solving for variable 'k'. Reorder the terms: -88 + 2k + 5k2 = 88 + -88 Combine like terms: 88 + -88 = 0 -88 + 2k + 5k2 = 0 Factor a trinomial. (-22 + -5k)(4 + -1k) = 0Subproblem 1
Set the factor '(-22 + -5k)' equal to zero and attempt to solve: Simplifying -22 + -5k = 0 Solving -22 + -5k = 0 Move all terms containing k to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -5k = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -5k = 0 + 22 -5k = 0 + 22 Combine like terms: 0 + 22 = 22 -5k = 22 Divide each side by '-5'. k = -4.4 Simplifying k = -4.4Subproblem 2
Set the factor '(4 + -1k)' equal to zero and attempt to solve: Simplifying 4 + -1k = 0 Solving 4 + -1k = 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 + -1k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1k = 0 + -4 -1k = 0 + -4 Combine like terms: 0 + -4 = -4 -1k = -4 Divide each side by '-1'. k = 4 Simplifying k = 4Solution
k = {-4.4, 4}
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