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Simplifying 9k2 + -22k + -15 = 0 Reorder the terms: -15 + -22k + 9k2 = 0 Solving -15 + -22k + 9k2 = 0 Solving for variable 'k'. Factor a trinomial. (-5 + -9k)(3 + -1k) = 0Subproblem 1
Set the factor '(-5 + -9k)' equal to zero and attempt to solve: Simplifying -5 + -9k = 0 Solving -5 + -9k = 0 Move all terms containing k to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -9k = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -9k = 0 + 5 -9k = 0 + 5 Combine like terms: 0 + 5 = 5 -9k = 5 Divide each side by '-9'. k = -0.5555555556 Simplifying k = -0.5555555556Subproblem 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 = {-0.5555555556, 3}
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