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Taking all terms and conditions into consideration a quadratic equation can be finally formed as such that 3k^2 +8k +4 = 0 whose solutions are k = -2/3 or k = -2

Check: 3(-2/3)^2 +8(-2/3) +4 = 0

Check: 3(-2)^2 +8(-2) +4 = 0

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