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Simplifying (2k + 1)(k2 + 4k + 4) = 0 Reorder the terms: (1 + 2k)(k2 + 4k + 4) = 0 Reorder the terms: (1 + 2k)(4 + 4k + k2) = 0 Multiply (1 + 2k) * (4 + 4k + k2) (1(4 + 4k + k2) + 2k * (4 + 4k + k2)) = 0 ((4 * 1 + 4k * 1 + k2 * 1) + 2k * (4 + 4k + k2)) = 0 ((4 + 4k + 1k2) + 2k * (4 + 4k + k2)) = 0 (4 + 4k + 1k2 + (4 * 2k + 4k * 2k + k2 * 2k)) = 0 (4 + 4k + 1k2 + (8k + 8k2 + 2k3)) = 0 Reorder the terms: (4 + 4k + 8k + 1k2 + 8k2 + 2k3) = 0 Combine like terms: 4k + 8k = 12k (4 + 12k + 1k2 + 8k2 + 2k3) = 0 Combine like terms: 1k2 + 8k2 = 9k2 (4 + 12k + 9k2 + 2k3) = 0 Solving 4 + 12k + 9k2 + 2k3 = 0 Solving for variable 'k'. The solution to this equation could not be determined.
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