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Simplifying (x + -1)(x + 2)(x + 3)(x + 4) = 40 Reorder the terms: (-1 + x)(x + 2)(x + 3)(x + 4) = 40 Reorder the terms: (-1 + x)(2 + x)(x + 3)(x + 4) = 40 Reorder the terms: (-1 + x)(2 + x)(3 + x)(x + 4) = 40 Reorder the terms: (-1 + x)(2 + x)(3 + x)(4 + x) = 40 Multiply (-1 + x) * (2 + x) (-1(2 + x) + x(2 + x))(3 + x)(4 + x) = 40 ((2 * -1 + x * -1) + x(2 + x))(3 + x)(4 + x) = 40 ((-2 + -1x) + x(2 + x))(3 + x)(4 + x) = 40 (-2 + -1x + (2 * x + x * x))(3 + x)(4 + x) = 40 (-2 + -1x + (2x + x2))(3 + x)(4 + x) = 40 Combine like terms: -1x + 2x = 1x (-2 + 1x + x2)(3 + x)(4 + x) = 40 Multiply (-2 + 1x + x2) * (3 + x) (-2(3 + x) + 1x * (3 + x) + x2(3 + x))(4 + x) = 40 ((3 * -2 + x * -2) + 1x * (3 + x) + x2(3 + x))(4 + x) = 40 ((-6 + -2x) + 1x * (3 + x) + x2(3 + x))(4 + x) = 40 (-6 + -2x + (3 * 1x + x * 1x) + x2(3 + x))(4 + x) = 40 (-6 + -2x + (3x + 1x2) + x2(3 + x))(4 + x) = 40 (-6 + -2x + 3x + 1x2 + (3 * x2 + x * x2))(4 + x) = 40 (-6 + -2x + 3x + 1x2 + (3x2 + x3))(4 + x) = 40 Combine like terms: -2x + 3x = 1x (-6 + 1x + 1x2 + 3x2 + x3)(4 + x) = 40 Combine like terms: 1x2 + 3x2 = 4x2 (-6 + 1x + 4x2 + x3)(4 + x) = 40 Multiply (-6 + 1x + 4x2 + x3) * (4 + x) (-6(4 + x) + 1x * (4 + x) + 4x2 * (4 + x) + x3(4 + x)) = 40 ((4 * -6 + x * -6) + 1x * (4 + x) + 4x2 * (4 + x) + x3(4 + x)) = 40 ((-24 + -6x) + 1x * (4 + x) + 4x2 * (4 + x) + x3(4 + x)) = 40 (-24 + -6x + (4 * 1x + x * 1x) + 4x2 * (4 + x) + x3(4 + x)) = 40 (-24 + -6x + (4x + 1x2) + 4x2 * (4 + x) + x3(4 + x)) = 40 (-24 + -6x + 4x + 1x2 + (4 * 4x2 + x * 4x2) + x3(4 + x)) = 40 (-24 + -6x + 4x + 1x2 + (16x2 + 4x3) + x3(4 + x)) = 40 (-24 + -6x + 4x + 1x2 + 16x2 + 4x3 + (4 * x3 + x * x3)) = 40 (-24 + -6x + 4x + 1x2 + 16x2 + 4x3 + (4x3 + x4)) = 40 Combine like terms: -6x + 4x = -2x (-24 + -2x + 1x2 + 16x2 + 4x3 + 4x3 + x4) = 40 Combine like terms: 1x2 + 16x2 = 17x2 (-24 + -2x + 17x2 + 4x3 + 4x3 + x4) = 40 Combine like terms: 4x3 + 4x3 = 8x3 (-24 + -2x + 17x2 + 8x3 + x4) = 40 Solving -24 + -2x + 17x2 + 8x3 + x4 = 40 Solving for variable 'x'. Reorder the terms: -24 + -40 + -2x + 17x2 + 8x3 + x4 = 40 + -40 Combine like terms: -24 + -40 = -64 -64 + -2x + 17x2 + 8x3 + x4 = 40 + -40 Combine like terms: 40 + -40 = 0 -64 + -2x + 17x2 + 8x3 + x4 = 0 The solution to this equation could not be determined.
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