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Simplifying (2x + 1)(3x2 + 1)(4x + 1) = 0 Reorder the terms: (1 + 2x)(3x2 + 1)(4x + 1) = 0 Reorder the terms: (1 + 2x)(1 + 3x2)(4x + 1) = 0 Reorder the terms: (1 + 2x)(1 + 3x2)(1 + 4x) = 0 Multiply (1 + 2x) * (1 + 3x2) (1(1 + 3x2) + 2x * (1 + 3x2))(1 + 4x) = 0 ((1 * 1 + 3x2 * 1) + 2x * (1 + 3x2))(1 + 4x) = 0 ((1 + 3x2) + 2x * (1 + 3x2))(1 + 4x) = 0 (1 + 3x2 + (1 * 2x + 3x2 * 2x))(1 + 4x) = 0 (1 + 3x2 + (2x + 6x3))(1 + 4x) = 0 Reorder the terms: (1 + 2x + 3x2 + 6x3)(1 + 4x) = 0 (1 + 2x + 3x2 + 6x3)(1 + 4x) = 0 Multiply (1 + 2x + 3x2 + 6x3) * (1 + 4x) (1(1 + 4x) + 2x * (1 + 4x) + 3x2 * (1 + 4x) + 6x3 * (1 + 4x)) = 0 ((1 * 1 + 4x * 1) + 2x * (1 + 4x) + 3x2 * (1 + 4x) + 6x3 * (1 + 4x)) = 0 ((1 + 4x) + 2x * (1 + 4x) + 3x2 * (1 + 4x) + 6x3 * (1 + 4x)) = 0 (1 + 4x + (1 * 2x + 4x * 2x) + 3x2 * (1 + 4x) + 6x3 * (1 + 4x)) = 0 (1 + 4x + (2x + 8x2) + 3x2 * (1 + 4x) + 6x3 * (1 + 4x)) = 0 (1 + 4x + 2x + 8x2 + (1 * 3x2 + 4x * 3x2) + 6x3 * (1 + 4x)) = 0 (1 + 4x + 2x + 8x2 + (3x2 + 12x3) + 6x3 * (1 + 4x)) = 0 (1 + 4x + 2x + 8x2 + 3x2 + 12x3 + (1 * 6x3 + 4x * 6x3)) = 0 (1 + 4x + 2x + 8x2 + 3x2 + 12x3 + (6x3 + 24x4)) = 0 Combine like terms: 4x + 2x = 6x (1 + 6x + 8x2 + 3x2 + 12x3 + 6x3 + 24x4) = 0 Combine like terms: 8x2 + 3x2 = 11x2 (1 + 6x + 11x2 + 12x3 + 6x3 + 24x4) = 0 Combine like terms: 12x3 + 6x3 = 18x3 (1 + 6x + 11x2 + 18x3 + 24x4) = 0 Solving 1 + 6x + 11x2 + 18x3 + 24x4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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