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Simplifying (3x + 1)(3x + 1)(3x + 1)(3x + 1) = 0 Reorder the terms: (1 + 3x)(3x + 1)(3x + 1)(3x + 1) = 0 Reorder the terms: (1 + 3x)(1 + 3x)(3x + 1)(3x + 1) = 0 Reorder the terms: (1 + 3x)(1 + 3x)(1 + 3x)(3x + 1) = 0 Reorder the terms: (1 + 3x)(1 + 3x)(1 + 3x)(1 + 3x) = 0 Multiply (1 + 3x) * (1 + 3x) (1(1 + 3x) + 3x * (1 + 3x))(1 + 3x)(1 + 3x) = 0 ((1 * 1 + 3x * 1) + 3x * (1 + 3x))(1 + 3x)(1 + 3x) = 0 ((1 + 3x) + 3x * (1 + 3x))(1 + 3x)(1 + 3x) = 0 (1 + 3x + (1 * 3x + 3x * 3x))(1 + 3x)(1 + 3x) = 0 (1 + 3x + (3x + 9x2))(1 + 3x)(1 + 3x) = 0 Combine like terms: 3x + 3x = 6x (1 + 6x + 9x2)(1 + 3x)(1 + 3x) = 0 Multiply (1 + 6x + 9x2) * (1 + 3x) (1(1 + 3x) + 6x * (1 + 3x) + 9x2 * (1 + 3x))(1 + 3x) = 0 ((1 * 1 + 3x * 1) + 6x * (1 + 3x) + 9x2 * (1 + 3x))(1 + 3x) = 0 ((1 + 3x) + 6x * (1 + 3x) + 9x2 * (1 + 3x))(1 + 3x) = 0 (1 + 3x + (1 * 6x + 3x * 6x) + 9x2 * (1 + 3x))(1 + 3x) = 0 (1 + 3x + (6x + 18x2) + 9x2 * (1 + 3x))(1 + 3x) = 0 (1 + 3x + 6x + 18x2 + (1 * 9x2 + 3x * 9x2))(1 + 3x) = 0 (1 + 3x + 6x + 18x2 + (9x2 + 27x3))(1 + 3x) = 0 Combine like terms: 3x + 6x = 9x (1 + 9x + 18x2 + 9x2 + 27x3)(1 + 3x) = 0 Combine like terms: 18x2 + 9x2 = 27x2 (1 + 9x + 27x2 + 27x3)(1 + 3x) = 0 Multiply (1 + 9x + 27x2 + 27x3) * (1 + 3x) (1(1 + 3x) + 9x * (1 + 3x) + 27x2 * (1 + 3x) + 27x3 * (1 + 3x)) = 0 ((1 * 1 + 3x * 1) + 9x * (1 + 3x) + 27x2 * (1 + 3x) + 27x3 * (1 + 3x)) = 0 ((1 + 3x) + 9x * (1 + 3x) + 27x2 * (1 + 3x) + 27x3 * (1 + 3x)) = 0 (1 + 3x + (1 * 9x + 3x * 9x) + 27x2 * (1 + 3x) + 27x3 * (1 + 3x)) = 0 (1 + 3x + (9x + 27x2) + 27x2 * (1 + 3x) + 27x3 * (1 + 3x)) = 0 (1 + 3x + 9x + 27x2 + (1 * 27x2 + 3x * 27x2) + 27x3 * (1 + 3x)) = 0 (1 + 3x + 9x + 27x2 + (27x2 + 81x3) + 27x3 * (1 + 3x)) = 0 (1 + 3x + 9x + 27x2 + 27x2 + 81x3 + (1 * 27x3 + 3x * 27x3)) = 0 (1 + 3x + 9x + 27x2 + 27x2 + 81x3 + (27x3 + 81x4)) = 0 Combine like terms: 3x + 9x = 12x (1 + 12x + 27x2 + 27x2 + 81x3 + 27x3 + 81x4) = 0 Combine like terms: 27x2 + 27x2 = 54x2 (1 + 12x + 54x2 + 81x3 + 27x3 + 81x4) = 0 Combine like terms: 81x3 + 27x3 = 108x3 (1 + 12x + 54x2 + 108x3 + 81x4) = 0 Solving 1 + 12x + 54x2 + 108x3 + 81x4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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