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Simplifying 2k2 + -9k = -9 Reorder the terms: -9k + 2k2 = -9 Solving -9k + 2k2 = -9 Solving for variable 'k'. Reorder the terms: 9 + -9k + 2k2 = -9 + 9 Combine like terms: -9 + 9 = 0 9 + -9k + 2k2 = 0 Factor a trinomial. (3 + -2k)(3 + -1k) = 0Subproblem 1
Set the factor '(3 + -2k)' equal to zero and attempt to solve: Simplifying 3 + -2k = 0 Solving 3 + -2k = 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 + -2k = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2k = 0 + -3 -2k = 0 + -3 Combine like terms: 0 + -3 = -3 -2k = -3 Divide each side by '-2'. k = 1.5 Simplifying k = 1.5Subproblem 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 = {1.5, 3}
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