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Simplifying (1 + x)(2 + x)(3 + x)(4 + x) = 360 Multiply (1 + x) * (2 + x) (1(2 + x) + x(2 + x))(3 + x)(4 + x) = 360 ((2 * 1 + x * 1) + x(2 + x))(3 + x)(4 + x) = 360 ((2 + 1x) + x(2 + x))(3 + x)(4 + x) = 360 (2 + 1x + (2 * x + x * x))(3 + x)(4 + x) = 360 (2 + 1x + (2x + x2))(3 + x)(4 + x) = 360 Combine like terms: 1x + 2x = 3x (2 + 3x + x2)(3 + x)(4 + x) = 360 Multiply (2 + 3x + x2) * (3 + x) (2(3 + x) + 3x * (3 + x) + x2(3 + x))(4 + x) = 360 ((3 * 2 + x * 2) + 3x * (3 + x) + x2(3 + x))(4 + x) = 360 ((6 + 2x) + 3x * (3 + x) + x2(3 + x))(4 + x) = 360 (6 + 2x + (3 * 3x + x * 3x) + x2(3 + x))(4 + x) = 360 (6 + 2x + (9x + 3x2) + x2(3 + x))(4 + x) = 360 (6 + 2x + 9x + 3x2 + (3 * x2 + x * x2))(4 + x) = 360 (6 + 2x + 9x + 3x2 + (3x2 + x3))(4 + x) = 360 Combine like terms: 2x + 9x = 11x (6 + 11x + 3x2 + 3x2 + x3)(4 + x) = 360 Combine like terms: 3x2 + 3x2 = 6x2 (6 + 11x + 6x2 + x3)(4 + x) = 360 Multiply (6 + 11x + 6x2 + x3) * (4 + x) (6(4 + x) + 11x * (4 + x) + 6x2 * (4 + x) + x3(4 + x)) = 360 ((4 * 6 + x * 6) + 11x * (4 + x) + 6x2 * (4 + x) + x3(4 + x)) = 360 ((24 + 6x) + 11x * (4 + x) + 6x2 * (4 + x) + x3(4 + x)) = 360 (24 + 6x + (4 * 11x + x * 11x) + 6x2 * (4 + x) + x3(4 + x)) = 360 (24 + 6x + (44x + 11x2) + 6x2 * (4 + x) + x3(4 + x)) = 360 (24 + 6x + 44x + 11x2 + (4 * 6x2 + x * 6x2) + x3(4 + x)) = 360 (24 + 6x + 44x + 11x2 + (24x2 + 6x3) + x3(4 + x)) = 360 (24 + 6x + 44x + 11x2 + 24x2 + 6x3 + (4 * x3 + x * x3)) = 360 (24 + 6x + 44x + 11x2 + 24x2 + 6x3 + (4x3 + x4)) = 360 Combine like terms: 6x + 44x = 50x (24 + 50x + 11x2 + 24x2 + 6x3 + 4x3 + x4) = 360 Combine like terms: 11x2 + 24x2 = 35x2 (24 + 50x + 35x2 + 6x3 + 4x3 + x4) = 360 Combine like terms: 6x3 + 4x3 = 10x3 (24 + 50x + 35x2 + 10x3 + x4) = 360 Solving 24 + 50x + 35x2 + 10x3 + x4 = 360 Solving for variable 'x'. Reorder the terms: 24 + -360 + 50x + 35x2 + 10x3 + x4 = 360 + -360 Combine like terms: 24 + -360 = -336 -336 + 50x + 35x2 + 10x3 + x4 = 360 + -360 Combine like terms: 360 + -360 = 0 -336 + 50x + 35x2 + 10x3 + x4 = 0 The solution to this equation could not be determined.
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