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Simplifying 6K2 + 17K + 7 = 0 Reorder the terms: 7 + 17K + 6K2 = 0 Solving 7 + 17K + 6K2 = 0 Solving for variable 'K'. Factor a trinomial. (7 + 3K)(1 + 2K) = 0Subproblem 1
Set the factor '(7 + 3K)' equal to zero and attempt to solve: Simplifying 7 + 3K = 0 Solving 7 + 3K = 0 Move all terms containing K to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3K = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3K = 0 + -7 3K = 0 + -7 Combine like terms: 0 + -7 = -7 3K = -7 Divide each side by '3'. K = -2.333333333 Simplifying K = -2.333333333Subproblem 2
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 = -0.5Solution
K = {-2.333333333, -0.5}
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