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Simplifying (k + 2)(12k3 + -3k2 + k + 1) = 0 Reorder the terms: (2 + k)(12k3 + -3k2 + k + 1) = 0 Reorder the terms: (2 + k)(1 + k + -3k2 + 12k3) = 0 Multiply (2 + k) * (1 + k + -3k2 + 12k3) (2(1 + k + -3k2 + 12k3) + k(1 + k + -3k2 + 12k3)) = 0 ((1 * 2 + k * 2 + -3k2 * 2 + 12k3 * 2) + k(1 + k + -3k2 + 12k3)) = 0 ((2 + 2k + -6k2 + 24k3) + k(1 + k + -3k2 + 12k3)) = 0 (2 + 2k + -6k2 + 24k3 + (1 * k + k * k + -3k2 * k + 12k3 * k)) = 0 (2 + 2k + -6k2 + 24k3 + (1k + k2 + -3k3 + 12k4)) = 0 Reorder the terms: (2 + 2k + 1k + -6k2 + k2 + 24k3 + -3k3 + 12k4) = 0 Combine like terms: 2k + 1k = 3k (2 + 3k + -6k2 + k2 + 24k3 + -3k3 + 12k4) = 0 Combine like terms: -6k2 + k2 = -5k2 (2 + 3k + -5k2 + 24k3 + -3k3 + 12k4) = 0 Combine like terms: 24k3 + -3k3 = 21k3 (2 + 3k + -5k2 + 21k3 + 12k4) = 0 Solving 2 + 3k + -5k2 + 21k3 + 12k4 = 0 Solving for variable 'k'. The solution to this equation could not be determined.
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