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Simplifying (x + 1)(x + 2)(x + 3)(x + 4) + -24 = 0 Reorder the terms: (1 + x)(x + 2)(x + 3)(x + 4) + -24 = 0 Reorder the terms: (1 + x)(2 + x)(x + 3)(x + 4) + -24 = 0 Reorder the terms: (1 + x)(2 + x)(3 + x)(x + 4) + -24 = 0 Reorder the terms: (1 + x)(2 + x)(3 + x)(4 + x) + -24 = 0 Multiply (1 + x) * (2 + x) (1(2 + x) + x(2 + x))(3 + x)(4 + x) + -24 = 0 ((2 * 1 + x * 1) + x(2 + x))(3 + x)(4 + x) + -24 = 0 ((2 + 1x) + x(2 + x))(3 + x)(4 + x) + -24 = 0 (2 + 1x + (2 * x + x * x))(3 + x)(4 + x) + -24 = 0 (2 + 1x + (2x + x2))(3 + x)(4 + x) + -24 = 0 Combine like terms: 1x + 2x = 3x (2 + 3x + x2)(3 + x)(4 + x) + -24 = 0 Multiply (2 + 3x + x2) * (3 + x) (2(3 + x) + 3x * (3 + x) + x2(3 + x))(4 + x) + -24 = 0 ((3 * 2 + x * 2) + 3x * (3 + x) + x2(3 + x))(4 + x) + -24 = 0 ((6 + 2x) + 3x * (3 + x) + x2(3 + x))(4 + x) + -24 = 0 (6 + 2x + (3 * 3x + x * 3x) + x2(3 + x))(4 + x) + -24 = 0 (6 + 2x + (9x + 3x2) + x2(3 + x))(4 + x) + -24 = 0 (6 + 2x + 9x + 3x2 + (3 * x2 + x * x2))(4 + x) + -24 = 0 (6 + 2x + 9x + 3x2 + (3x2 + x3))(4 + x) + -24 = 0 Combine like terms: 2x + 9x = 11x (6 + 11x + 3x2 + 3x2 + x3)(4 + x) + -24 = 0 Combine like terms: 3x2 + 3x2 = 6x2 (6 + 11x + 6x2 + x3)(4 + x) + -24 = 0 Multiply (6 + 11x + 6x2 + x3) * (4 + x) (6(4 + x) + 11x * (4 + x) + 6x2 * (4 + x) + x3(4 + x)) + -24 = 0 ((4 * 6 + x * 6) + 11x * (4 + x) + 6x2 * (4 + x) + x3(4 + x)) + -24 = 0 ((24 + 6x) + 11x * (4 + x) + 6x2 * (4 + x) + x3(4 + x)) + -24 = 0 (24 + 6x + (4 * 11x + x * 11x) + 6x2 * (4 + x) + x3(4 + x)) + -24 = 0 (24 + 6x + (44x + 11x2) + 6x2 * (4 + x) + x3(4 + x)) + -24 = 0 (24 + 6x + 44x + 11x2 + (4 * 6x2 + x * 6x2) + x3(4 + x)) + -24 = 0 (24 + 6x + 44x + 11x2 + (24x2 + 6x3) + x3(4 + x)) + -24 = 0 (24 + 6x + 44x + 11x2 + 24x2 + 6x3 + (4 * x3 + x * x3)) + -24 = 0 (24 + 6x + 44x + 11x2 + 24x2 + 6x3 + (4x3 + x4)) + -24 = 0 Combine like terms: 6x + 44x = 50x (24 + 50x + 11x2 + 24x2 + 6x3 + 4x3 + x4) + -24 = 0 Combine like terms: 11x2 + 24x2 = 35x2 (24 + 50x + 35x2 + 6x3 + 4x3 + x4) + -24 = 0 Combine like terms: 6x3 + 4x3 = 10x3 (24 + 50x + 35x2 + 10x3 + x4) + -24 = 0 Reorder the terms: 24 + -24 + 50x + 35x2 + 10x3 + x4 = 0 Combine like terms: 24 + -24 = 0 0 + 50x + 35x2 + 10x3 + x4 = 0 50x + 35x2 + 10x3 + x4 = 0 Solving 50x + 35x2 + 10x3 + x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(50 + 35x + 10x2 + x3) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(50 + 35x + 10x2 + x3)' equal to zero and attempt to solve: Simplifying 50 + 35x + 10x2 + x3 = 0 Solving 50 + 35x + 10x2 + x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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