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Simplifying (X + 1)(X + 2)(X + 3)(X + 4) + -5 = 0 Reorder the terms: (1 + X)(X + 2)(X + 3)(X + 4) + -5 = 0 Reorder the terms: (1 + X)(2 + X)(X + 3)(X + 4) + -5 = 0 Reorder the terms: (1 + X)(2 + X)(3 + X)(X + 4) + -5 = 0 Reorder the terms: (1 + X)(2 + X)(3 + X)(4 + X) + -5 = 0 Multiply (1 + X) * (2 + X) (1(2 + X) + X(2 + X))(3 + X)(4 + X) + -5 = 0 ((2 * 1 + X * 1) + X(2 + X))(3 + X)(4 + X) + -5 = 0 ((2 + 1X) + X(2 + X))(3 + X)(4 + X) + -5 = 0 (2 + 1X + (2 * X + X * X))(3 + X)(4 + X) + -5 = 0 (2 + 1X + (2X + X2))(3 + X)(4 + X) + -5 = 0 Combine like terms: 1X + 2X = 3X (2 + 3X + X2)(3 + X)(4 + X) + -5 = 0 Multiply (2 + 3X + X2) * (3 + X) (2(3 + X) + 3X * (3 + X) + X2(3 + X))(4 + X) + -5 = 0 ((3 * 2 + X * 2) + 3X * (3 + X) + X2(3 + X))(4 + X) + -5 = 0 ((6 + 2X) + 3X * (3 + X) + X2(3 + X))(4 + X) + -5 = 0 (6 + 2X + (3 * 3X + X * 3X) + X2(3 + X))(4 + X) + -5 = 0 (6 + 2X + (9X + 3X2) + X2(3 + X))(4 + X) + -5 = 0 (6 + 2X + 9X + 3X2 + (3 * X2 + X * X2))(4 + X) + -5 = 0 (6 + 2X + 9X + 3X2 + (3X2 + X3))(4 + X) + -5 = 0 Combine like terms: 2X + 9X = 11X (6 + 11X + 3X2 + 3X2 + X3)(4 + X) + -5 = 0 Combine like terms: 3X2 + 3X2 = 6X2 (6 + 11X + 6X2 + X3)(4 + X) + -5 = 0 Multiply (6 + 11X + 6X2 + X3) * (4 + X) (6(4 + X) + 11X * (4 + X) + 6X2 * (4 + X) + X3(4 + X)) + -5 = 0 ((4 * 6 + X * 6) + 11X * (4 + X) + 6X2 * (4 + X) + X3(4 + X)) + -5 = 0 ((24 + 6X) + 11X * (4 + X) + 6X2 * (4 + X) + X3(4 + X)) + -5 = 0 (24 + 6X + (4 * 11X + X * 11X) + 6X2 * (4 + X) + X3(4 + X)) + -5 = 0 (24 + 6X + (44X + 11X2) + 6X2 * (4 + X) + X3(4 + X)) + -5 = 0 (24 + 6X + 44X + 11X2 + (4 * 6X2 + X * 6X2) + X3(4 + X)) + -5 = 0 (24 + 6X + 44X + 11X2 + (24X2 + 6X3) + X3(4 + X)) + -5 = 0 (24 + 6X + 44X + 11X2 + 24X2 + 6X3 + (4 * X3 + X * X3)) + -5 = 0 (24 + 6X + 44X + 11X2 + 24X2 + 6X3 + (4X3 + X4)) + -5 = 0 Combine like terms: 6X + 44X = 50X (24 + 50X + 11X2 + 24X2 + 6X3 + 4X3 + X4) + -5 = 0 Combine like terms: 11X2 + 24X2 = 35X2 (24 + 50X + 35X2 + 6X3 + 4X3 + X4) + -5 = 0 Combine like terms: 6X3 + 4X3 = 10X3 (24 + 50X + 35X2 + 10X3 + X4) + -5 = 0 Reorder the terms: 24 + -5 + 50X + 35X2 + 10X3 + X4 = 0 Combine like terms: 24 + -5 = 19 19 + 50X + 35X2 + 10X3 + X4 = 0 Solving 19 + 50X + 35X2 + 10X3 + X4 = 0 Solving for variable 'X'. The solution to this equation could not be determined.
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