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Simplifying (2k + 1)(k + 1)(k + 4) = 0 Reorder the terms: (1 + 2k)(k + 1)(k + 4) = 0 Reorder the terms: (1 + 2k)(1 + k)(k + 4) = 0 Reorder the terms: (1 + 2k)(1 + k)(4 + k) = 0 Multiply (1 + 2k) * (1 + k) (1(1 + k) + 2k * (1 + k))(4 + k) = 0 ((1 * 1 + k * 1) + 2k * (1 + k))(4 + k) = 0 ((1 + 1k) + 2k * (1 + k))(4 + k) = 0 (1 + 1k + (1 * 2k + k * 2k))(4 + k) = 0 (1 + 1k + (2k + 2k2))(4 + k) = 0 Combine like terms: 1k + 2k = 3k (1 + 3k + 2k2)(4 + k) = 0 Multiply (1 + 3k + 2k2) * (4 + k) (1(4 + k) + 3k * (4 + k) + 2k2 * (4 + k)) = 0 ((4 * 1 + k * 1) + 3k * (4 + k) + 2k2 * (4 + k)) = 0 ((4 + 1k) + 3k * (4 + k) + 2k2 * (4 + k)) = 0 (4 + 1k + (4 * 3k + k * 3k) + 2k2 * (4 + k)) = 0 (4 + 1k + (12k + 3k2) + 2k2 * (4 + k)) = 0 (4 + 1k + 12k + 3k2 + (4 * 2k2 + k * 2k2)) = 0 (4 + 1k + 12k + 3k2 + (8k2 + 2k3)) = 0 Combine like terms: 1k + 12k = 13k (4 + 13k + 3k2 + 8k2 + 2k3) = 0 Combine like terms: 3k2 + 8k2 = 11k2 (4 + 13k + 11k2 + 2k3) = 0 Solving 4 + 13k + 11k2 + 2k3 = 0 Solving for variable 'k'. The solution to this equation could not be determined.
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