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Simplifying 2k2 + -17k + -9 = 0 Reorder the terms: -9 + -17k + 2k2 = 0 Solving -9 + -17k + 2k2 = 0 Solving for variable 'k'. Factor a trinomial. (-1 + -2k)(9 + -1k) = 0Subproblem 1
Set the factor '(-1 + -2k)' equal to zero and attempt to solve: Simplifying -1 + -2k = 0 Solving -1 + -2k = 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 + -2k = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2k = 0 + 1 -2k = 0 + 1 Combine like terms: 0 + 1 = 1 -2k = 1 Divide each side by '-2'. k = -0.5 Simplifying k = -0.5Subproblem 2
Set the factor '(9 + -1k)' equal to zero and attempt to solve: Simplifying 9 + -1k = 0 Solving 9 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1k = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1k = 0 + -9 -1k = 0 + -9 Combine like terms: 0 + -9 = -9 -1k = -9 Divide each side by '-1'. k = 9 Simplifying k = 9Solution
k = {-0.5, 9}
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