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Simplifying (1 + 3x + 2x2 + x3)(1 + 5x + -1x2 + -1x3) = 0 Multiply (1 + 3x + 2x2 + x3) * (1 + 5x + -1x2 + -1x3) (1(1 + 5x + -1x2 + -1x3) + 3x * (1 + 5x + -1x2 + -1x3) + 2x2 * (1 + 5x + -1x2 + -1x3) + x3(1 + 5x + -1x2 + -1x3)) = 0 ((1 * 1 + 5x * 1 + -1x2 * 1 + -1x3 * 1) + 3x * (1 + 5x + -1x2 + -1x3) + 2x2 * (1 + 5x + -1x2 + -1x3) + x3(1 + 5x + -1x2 + -1x3)) = 0 ((1 + 5x + -1x2 + -1x3) + 3x * (1 + 5x + -1x2 + -1x3) + 2x2 * (1 + 5x + -1x2 + -1x3) + x3(1 + 5x + -1x2 + -1x3)) = 0 (1 + 5x + -1x2 + -1x3 + (1 * 3x + 5x * 3x + -1x2 * 3x + -1x3 * 3x) + 2x2 * (1 + 5x + -1x2 + -1x3) + x3(1 + 5x + -1x2 + -1x3)) = 0 (1 + 5x + -1x2 + -1x3 + (3x + 15x2 + -3x3 + -3x4) + 2x2 * (1 + 5x + -1x2 + -1x3) + x3(1 + 5x + -1x2 + -1x3)) = 0 (1 + 5x + -1x2 + -1x3 + 3x + 15x2 + -3x3 + -3x4 + (1 * 2x2 + 5x * 2x2 + -1x2 * 2x2 + -1x3 * 2x2) + x3(1 + 5x + -1x2 + -1x3)) = 0 (1 + 5x + -1x2 + -1x3 + 3x + 15x2 + -3x3 + -3x4 + (2x2 + 10x3 + -2x4 + -2x5) + x3(1 + 5x + -1x2 + -1x3)) = 0 (1 + 5x + -1x2 + -1x3 + 3x + 15x2 + -3x3 + -3x4 + 2x2 + 10x3 + -2x4 + -2x5 + (1 * x3 + 5x * x3 + -1x2 * x3 + -1x3 * x3)) = 0 (1 + 5x + -1x2 + -1x3 + 3x + 15x2 + -3x3 + -3x4 + 2x2 + 10x3 + -2x4 + -2x5 + (1x3 + 5x4 + -1x5 + -1x6)) = 0 Reorder the terms: (1 + 5x + 3x + -1x2 + 15x2 + 2x2 + -1x3 + -3x3 + 10x3 + 1x3 + -3x4 + -2x4 + 5x4 + -2x5 + -1x5 + -1x6) = 0 Combine like terms: 5x + 3x = 8x (1 + 8x + -1x2 + 15x2 + 2x2 + -1x3 + -3x3 + 10x3 + 1x3 + -3x4 + -2x4 + 5x4 + -2x5 + -1x5 + -1x6) = 0 Combine like terms: -1x2 + 15x2 = 14x2 (1 + 8x + 14x2 + 2x2 + -1x3 + -3x3 + 10x3 + 1x3 + -3x4 + -2x4 + 5x4 + -2x5 + -1x5 + -1x6) = 0 Combine like terms: 14x2 + 2x2 = 16x2 (1 + 8x + 16x2 + -1x3 + -3x3 + 10x3 + 1x3 + -3x4 + -2x4 + 5x4 + -2x5 + -1x5 + -1x6) = 0 Combine like terms: -1x3 + -3x3 = -4x3 (1 + 8x + 16x2 + -4x3 + 10x3 + 1x3 + -3x4 + -2x4 + 5x4 + -2x5 + -1x5 + -1x6) = 0 Combine like terms: -4x3 + 10x3 = 6x3 (1 + 8x + 16x2 + 6x3 + 1x3 + -3x4 + -2x4 + 5x4 + -2x5 + -1x5 + -1x6) = 0 Combine like terms: 6x3 + 1x3 = 7x3 (1 + 8x + 16x2 + 7x3 + -3x4 + -2x4 + 5x4 + -2x5 + -1x5 + -1x6) = 0 Combine like terms: -3x4 + -2x4 = -5x4 (1 + 8x + 16x2 + 7x3 + -5x4 + 5x4 + -2x5 + -1x5 + -1x6) = 0 Combine like terms: -5x4 + 5x4 = 0 (1 + 8x + 16x2 + 7x3 + 0 + -2x5 + -1x5 + -1x6) = 0 (1 + 8x + 16x2 + 7x3 + -2x5 + -1x5 + -1x6) = 0 Combine like terms: -2x5 + -1x5 = -3x5 (1 + 8x + 16x2 + 7x3 + -3x5 + -1x6) = 0 Solving 1 + 8x + 16x2 + 7x3 + -3x5 + -1x6 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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