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Simplifying 5k2 + 17k + -22 = 0 Reorder the terms: -22 + 17k + 5k2 = 0 Solving -22 + 17k + 5k2 = 0 Solving for variable 'k'. Factor a trinomial. (-22 + -5k)(1 + -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 '(1 + -1k)' equal to zero and attempt to solve: Simplifying 1 + -1k = 0 Solving 1 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1k = 0 + -1 -1k = 0 + -1 Combine like terms: 0 + -1 = -1 -1k = -1 Divide each side by '-1'. k = 1 Simplifying k = 1Solution
k = {-4.4, 1}
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