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Simplifying (x + 1)(2 + -1x)(3x + -1)(4x + 1)(1 + -5x) = 0 Reorder the terms: (1 + x)(2 + -1x)(3x + -1)(4x + 1)(1 + -5x) = 0 Reorder the terms: (1 + x)(2 + -1x)(-1 + 3x)(4x + 1)(1 + -5x) = 0 Reorder the terms: (1 + x)(2 + -1x)(-1 + 3x)(1 + 4x)(1 + -5x) = 0 Multiply (1 + x) * (2 + -1x) (1(2 + -1x) + x(2 + -1x))(-1 + 3x)(1 + 4x)(1 + -5x) = 0 ((2 * 1 + -1x * 1) + x(2 + -1x))(-1 + 3x)(1 + 4x)(1 + -5x) = 0 ((2 + -1x) + x(2 + -1x))(-1 + 3x)(1 + 4x)(1 + -5x) = 0 (2 + -1x + (2 * x + -1x * x))(-1 + 3x)(1 + 4x)(1 + -5x) = 0 (2 + -1x + (2x + -1x2))(-1 + 3x)(1 + 4x)(1 + -5x) = 0 Combine like terms: -1x + 2x = 1x (2 + 1x + -1x2)(-1 + 3x)(1 + 4x)(1 + -5x) = 0 Multiply (2 + 1x + -1x2) * (-1 + 3x) (2(-1 + 3x) + 1x * (-1 + 3x) + -1x2 * (-1 + 3x))(1 + 4x)(1 + -5x) = 0 ((-1 * 2 + 3x * 2) + 1x * (-1 + 3x) + -1x2 * (-1 + 3x))(1 + 4x)(1 + -5x) = 0 ((-2 + 6x) + 1x * (-1 + 3x) + -1x2 * (-1 + 3x))(1 + 4x)(1 + -5x) = 0 (-2 + 6x + (-1 * 1x + 3x * 1x) + -1x2 * (-1 + 3x))(1 + 4x)(1 + -5x) = 0 (-2 + 6x + (-1x + 3x2) + -1x2 * (-1 + 3x))(1 + 4x)(1 + -5x) = 0 (-2 + 6x + -1x + 3x2 + (-1 * -1x2 + 3x * -1x2))(1 + 4x)(1 + -5x) = 0 (-2 + 6x + -1x + 3x2 + (1x2 + -3x3))(1 + 4x)(1 + -5x) = 0 Combine like terms: 6x + -1x = 5x (-2 + 5x + 3x2 + 1x2 + -3x3)(1 + 4x)(1 + -5x) = 0 Combine like terms: 3x2 + 1x2 = 4x2 (-2 + 5x + 4x2 + -3x3)(1 + 4x)(1 + -5x) = 0 Multiply (-2 + 5x + 4x2 + -3x3) * (1 + 4x) (-2(1 + 4x) + 5x * (1 + 4x) + 4x2 * (1 + 4x) + -3x3 * (1 + 4x))(1 + -5x) = 0 ((1 * -2 + 4x * -2) + 5x * (1 + 4x) + 4x2 * (1 + 4x) + -3x3 * (1 + 4x))(1 + -5x) = 0 ((-2 + -8x) + 5x * (1 + 4x) + 4x2 * (1 + 4x) + -3x3 * (1 + 4x))(1 + -5x) = 0 (-2 + -8x + (1 * 5x + 4x * 5x) + 4x2 * (1 + 4x) + -3x3 * (1 + 4x))(1 + -5x) = 0 (-2 + -8x + (5x + 20x2) + 4x2 * (1 + 4x) + -3x3 * (1 + 4x))(1 + -5x) = 0 (-2 + -8x + 5x + 20x2 + (1 * 4x2 + 4x * 4x2) + -3x3 * (1 + 4x))(1 + -5x) = 0 (-2 + -8x + 5x + 20x2 + (4x2 + 16x3) + -3x3 * (1 + 4x))(1 + -5x) = 0 (-2 + -8x + 5x + 20x2 + 4x2 + 16x3 + (1 * -3x3 + 4x * -3x3))(1 + -5x) = 0 (-2 + -8x + 5x + 20x2 + 4x2 + 16x3 + (-3x3 + -12x4))(1 + -5x) = 0 Combine like terms: -8x + 5x = -3x (-2 + -3x + 20x2 + 4x2 + 16x3 + -3x3 + -12x4)(1 + -5x) = 0 Combine like terms: 20x2 + 4x2 = 24x2 (-2 + -3x + 24x2 + 16x3 + -3x3 + -12x4)(1 + -5x) = 0 Combine like terms: 16x3 + -3x3 = 13x3 (-2 + -3x + 24x2 + 13x3 + -12x4)(1 + -5x) = 0 Multiply (-2 + -3x + 24x2 + 13x3 + -12x4) * (1 + -5x) (-2(1 + -5x) + -3x * (1 + -5x) + 24x2 * (1 + -5x) + 13x3 * (1 + -5x) + -12x4 * (1 + -5x)) = 0 ((1 * -2 + -5x * -2) + -3x * (1 + -5x) + 24x2 * (1 + -5x) + 13x3 * (1 + -5x) + -12x4 * (1 + -5x)) = 0 ((-2 + 10x) + -3x * (1 + -5x) + 24x2 * (1 + -5x) + 13x3 * (1 + -5x) + -12x4 * (1 + -5x)) = 0 (-2 + 10x + (1 * -3x + -5x * -3x) + 24x2 * (1 + -5x) + 13x3 * (1 + -5x) + -12x4 * (1 + -5x)) = 0 (-2 + 10x + (-3x + 15x2) + 24x2 * (1 + -5x) + 13x3 * (1 + -5x) + -12x4 * (1 + -5x)) = 0 (-2 + 10x + -3x + 15x2 + (1 * 24x2 + -5x * 24x2) + 13x3 * (1 + -5x) + -12x4 * (1 + -5x)) = 0 (-2 + 10x + -3x + 15x2 + (24x2 + -120x3) + 13x3 * (1 + -5x) + -12x4 * (1 + -5x)) = 0 (-2 + 10x + -3x + 15x2 + 24x2 + -120x3 + (1 * 13x3 + -5x * 13x3) + -12x4 * (1 + -5x)) = 0 (-2 + 10x + -3x + 15x2 + 24x2 + -120x3 + (13x3 + -65x4) + -12x4 * (1 + -5x)) = 0 (-2 + 10x + -3x + 15x2 + 24x2 + -120x3 + 13x3 + -65x4 + (1 * -12x4 + -5x * -12x4)) = 0 (-2 + 10x + -3x + 15x2 + 24x2 + -120x3 + 13x3 + -65x4 + (-12x4 + 60x5)) = 0 Combine like terms: 10x + -3x = 7x (-2 + 7x + 15x2 + 24x2 + -120x3 + 13x3 + -65x4 + -12x4 + 60x5) = 0 Combine like terms: 15x2 + 24x2 = 39x2 (-2 + 7x + 39x2 + -120x3 + 13x3 + -65x4 + -12x4 + 60x5) = 0 Combine like terms: -120x3 + 13x3 = -107x3 (-2 + 7x + 39x2 + -107x3 + -65x4 + -12x4 + 60x5) = 0 Combine like terms: -65x4 + -12x4 = -77x4 (-2 + 7x + 39x2 + -107x3 + -77x4 + 60x5) = 0 Solving -2 + 7x + 39x2 + -107x3 + -77x4 + 60x5 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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