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Simplifying (x + 1)(x + 1)(x + 2)(x + 3)(x + 4) + -8 = 0 Reorder the terms: (1 + x)(x + 1)(x + 2)(x + 3)(x + 4) + -8 = 0 Reorder the terms: (1 + x)(1 + x)(x + 2)(x + 3)(x + 4) + -8 = 0 Reorder the terms: (1 + x)(1 + x)(2 + x)(x + 3)(x + 4) + -8 = 0 Reorder the terms: (1 + x)(1 + x)(2 + x)(3 + x)(x + 4) + -8 = 0 Reorder the terms: (1 + x)(1 + x)(2 + x)(3 + x)(4 + x) + -8 = 0 Multiply (1 + x) * (1 + x) (1(1 + x) + x(1 + x))(2 + x)(3 + x)(4 + x) + -8 = 0 ((1 * 1 + x * 1) + x(1 + x))(2 + x)(3 + x)(4 + x) + -8 = 0 ((1 + 1x) + x(1 + x))(2 + x)(3 + x)(4 + x) + -8 = 0 (1 + 1x + (1 * x + x * x))(2 + x)(3 + x)(4 + x) + -8 = 0 (1 + 1x + (1x + x2))(2 + x)(3 + x)(4 + x) + -8 = 0 Combine like terms: 1x + 1x = 2x (1 + 2x + x2)(2 + x)(3 + x)(4 + x) + -8 = 0 Multiply (1 + 2x + x2) * (2 + x) (1(2 + x) + 2x * (2 + x) + x2(2 + x))(3 + x)(4 + x) + -8 = 0 ((2 * 1 + x * 1) + 2x * (2 + x) + x2(2 + x))(3 + x)(4 + x) + -8 = 0 ((2 + 1x) + 2x * (2 + x) + x2(2 + x))(3 + x)(4 + x) + -8 = 0 (2 + 1x + (2 * 2x + x * 2x) + x2(2 + x))(3 + x)(4 + x) + -8 = 0 (2 + 1x + (4x + 2x2) + x2(2 + x))(3 + x)(4 + x) + -8 = 0 (2 + 1x + 4x + 2x2 + (2 * x2 + x * x2))(3 + x)(4 + x) + -8 = 0 (2 + 1x + 4x + 2x2 + (2x2 + x3))(3 + x)(4 + x) + -8 = 0 Combine like terms: 1x + 4x = 5x (2 + 5x + 2x2 + 2x2 + x3)(3 + x)(4 + x) + -8 = 0 Combine like terms: 2x2 + 2x2 = 4x2 (2 + 5x + 4x2 + x3)(3 + x)(4 + x) + -8 = 0 Multiply (2 + 5x + 4x2 + x3) * (3 + x) (2(3 + x) + 5x * (3 + x) + 4x2 * (3 + x) + x3(3 + x))(4 + x) + -8 = 0 ((3 * 2 + x * 2) + 5x * (3 + x) + 4x2 * (3 + x) + x3(3 + x))(4 + x) + -8 = 0 ((6 + 2x) + 5x * (3 + x) + 4x2 * (3 + x) + x3(3 + x))(4 + x) + -8 = 0 (6 + 2x + (3 * 5x + x * 5x) + 4x2 * (3 + x) + x3(3 + x))(4 + x) + -8 = 0 (6 + 2x + (15x + 5x2) + 4x2 * (3 + x) + x3(3 + x))(4 + x) + -8 = 0 (6 + 2x + 15x + 5x2 + (3 * 4x2 + x * 4x2) + x3(3 + x))(4 + x) + -8 = 0 (6 + 2x + 15x + 5x2 + (12x2 + 4x3) + x3(3 + x))(4 + x) + -8 = 0 (6 + 2x + 15x + 5x2 + 12x2 + 4x3 + (3 * x3 + x * x3))(4 + x) + -8 = 0 (6 + 2x + 15x + 5x2 + 12x2 + 4x3 + (3x3 + x4))(4 + x) + -8 = 0 Combine like terms: 2x + 15x = 17x (6 + 17x + 5x2 + 12x2 + 4x3 + 3x3 + x4)(4 + x) + -8 = 0 Combine like terms: 5x2 + 12x2 = 17x2 (6 + 17x + 17x2 + 4x3 + 3x3 + x4)(4 + x) + -8 = 0 Combine like terms: 4x3 + 3x3 = 7x3 (6 + 17x + 17x2 + 7x3 + x4)(4 + x) + -8 = 0 Multiply (6 + 17x + 17x2 + 7x3 + x4) * (4 + x) (6(4 + x) + 17x * (4 + x) + 17x2 * (4 + x) + 7x3 * (4 + x) + x4(4 + x)) + -8 = 0 ((4 * 6 + x * 6) + 17x * (4 + x) + 17x2 * (4 + x) + 7x3 * (4 + x) + x4(4 + x)) + -8 = 0 ((24 + 6x) + 17x * (4 + x) + 17x2 * (4 + x) + 7x3 * (4 + x) + x4(4 + x)) + -8 = 0 (24 + 6x + (4 * 17x + x * 17x) + 17x2 * (4 + x) + 7x3 * (4 + x) + x4(4 + x)) + -8 = 0 (24 + 6x + (68x + 17x2) + 17x2 * (4 + x) + 7x3 * (4 + x) + x4(4 + x)) + -8 = 0 (24 + 6x + 68x + 17x2 + (4 * 17x2 + x * 17x2) + 7x3 * (4 + x) + x4(4 + x)) + -8 = 0 (24 + 6x + 68x + 17x2 + (68x2 + 17x3) + 7x3 * (4 + x) + x4(4 + x)) + -8 = 0 (24 + 6x + 68x + 17x2 + 68x2 + 17x3 + (4 * 7x3 + x * 7x3) + x4(4 + x)) + -8 = 0 (24 + 6x + 68x + 17x2 + 68x2 + 17x3 + (28x3 + 7x4) + x4(4 + x)) + -8 = 0 (24 + 6x + 68x + 17x2 + 68x2 + 17x3 + 28x3 + 7x4 + (4 * x4 + x * x4)) + -8 = 0 (24 + 6x + 68x + 17x2 + 68x2 + 17x3 + 28x3 + 7x4 + (4x4 + x5)) + -8 = 0 Combine like terms: 6x + 68x = 74x (24 + 74x + 17x2 + 68x2 + 17x3 + 28x3 + 7x4 + 4x4 + x5) + -8 = 0 Combine like terms: 17x2 + 68x2 = 85x2 (24 + 74x + 85x2 + 17x3 + 28x3 + 7x4 + 4x4 + x5) + -8 = 0 Combine like terms: 17x3 + 28x3 = 45x3 (24 + 74x + 85x2 + 45x3 + 7x4 + 4x4 + x5) + -8 = 0 Combine like terms: 7x4 + 4x4 = 11x4 (24 + 74x + 85x2 + 45x3 + 11x4 + x5) + -8 = 0 Reorder the terms: 24 + -8 + 74x + 85x2 + 45x3 + 11x4 + x5 = 0 Combine like terms: 24 + -8 = 16 16 + 74x + 85x2 + 45x3 + 11x4 + x5 = 0 Solving 16 + 74x + 85x2 + 45x3 + 11x4 + x5 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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