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Simplifying 0 = (1 + x)(1 + x)(1 + x)(1 + x) Multiply (1 + x) * (1 + x) 0 = (1(1 + x) + x(1 + x))(1 + x)(1 + x) 0 = ((1 * 1 + x * 1) + x(1 + x))(1 + x)(1 + x) 0 = ((1 + 1x) + x(1 + x))(1 + x)(1 + x) 0 = (1 + 1x + (1 * x + x * x))(1 + x)(1 + x) 0 = (1 + 1x + (1x + x2))(1 + x)(1 + x) Combine like terms: 1x + 1x = 2x 0 = (1 + 2x + x2)(1 + x)(1 + x) Multiply (1 + 2x + x2) * (1 + x) 0 = (1(1 + x) + 2x * (1 + x) + x2(1 + x))(1 + x) 0 = ((1 * 1 + x * 1) + 2x * (1 + x) + x2(1 + x))(1 + x) 0 = ((1 + 1x) + 2x * (1 + x) + x2(1 + x))(1 + x) 0 = (1 + 1x + (1 * 2x + x * 2x) + x2(1 + x))(1 + x) 0 = (1 + 1x + (2x + 2x2) + x2(1 + x))(1 + x) 0 = (1 + 1x + 2x + 2x2 + (1 * x2 + x * x2))(1 + x) 0 = (1 + 1x + 2x + 2x2 + (1x2 + x3))(1 + x) Combine like terms: 1x + 2x = 3x 0 = (1 + 3x + 2x2 + 1x2 + x3)(1 + x) Combine like terms: 2x2 + 1x2 = 3x2 0 = (1 + 3x + 3x2 + x3)(1 + x) Multiply (1 + 3x + 3x2 + x3) * (1 + x) 0 = (1(1 + x) + 3x * (1 + x) + 3x2 * (1 + x) + x3(1 + x)) 0 = ((1 * 1 + x * 1) + 3x * (1 + x) + 3x2 * (1 + x) + x3(1 + x)) 0 = ((1 + 1x) + 3x * (1 + x) + 3x2 * (1 + x) + x3(1 + x)) 0 = (1 + 1x + (1 * 3x + x * 3x) + 3x2 * (1 + x) + x3(1 + x)) 0 = (1 + 1x + (3x + 3x2) + 3x2 * (1 + x) + x3(1 + x)) 0 = (1 + 1x + 3x + 3x2 + (1 * 3x2 + x * 3x2) + x3(1 + x)) 0 = (1 + 1x + 3x + 3x2 + (3x2 + 3x3) + x3(1 + x)) 0 = (1 + 1x + 3x + 3x2 + 3x2 + 3x3 + (1 * x3 + x * x3)) 0 = (1 + 1x + 3x + 3x2 + 3x2 + 3x3 + (1x3 + x4)) Combine like terms: 1x + 3x = 4x 0 = (1 + 4x + 3x2 + 3x2 + 3x3 + 1x3 + x4) Combine like terms: 3x2 + 3x2 = 6x2 0 = (1 + 4x + 6x2 + 3x3 + 1x3 + x4) Combine like terms: 3x3 + 1x3 = 4x3 0 = (1 + 4x + 6x2 + 4x3 + x4) Solving 0 = 1 + 4x + 6x2 + 4x3 + x4 Solving for variable 'x'. Combine like terms: 0 + -1 = -1 -1 + -4x + -6x2 + -4x3 + -1x4 = 1 + 4x + 6x2 + 4x3 + x4 + -1 + -4x + -6x2 + -4x3 + -1x4 Reorder the terms: -1 + -4x + -6x2 + -4x3 + -1x4 = 1 + -1 + 4x + -4x + 6x2 + -6x2 + 4x3 + -4x3 + x4 + -1x4 Combine like terms: 1 + -1 = 0 -1 + -4x + -6x2 + -4x3 + -1x4 = 0 + 4x + -4x + 6x2 + -6x2 + 4x3 + -4x3 + x4 + -1x4 -1 + -4x + -6x2 + -4x3 + -1x4 = 4x + -4x + 6x2 + -6x2 + 4x3 + -4x3 + x4 + -1x4 Combine like terms: 4x + -4x = 0 -1 + -4x + -6x2 + -4x3 + -1x4 = 0 + 6x2 + -6x2 + 4x3 + -4x3 + x4 + -1x4 -1 + -4x + -6x2 + -4x3 + -1x4 = 6x2 + -6x2 + 4x3 + -4x3 + x4 + -1x4 Combine like terms: 6x2 + -6x2 = 0 -1 + -4x + -6x2 + -4x3 + -1x4 = 0 + 4x3 + -4x3 + x4 + -1x4 -1 + -4x + -6x2 + -4x3 + -1x4 = 4x3 + -4x3 + x4 + -1x4 Combine like terms: 4x3 + -4x3 = 0 -1 + -4x + -6x2 + -4x3 + -1x4 = 0 + x4 + -1x4 -1 + -4x + -6x2 + -4x3 + -1x4 = x4 + -1x4 Combine like terms: x4 + -1x4 = 0 -1 + -4x + -6x2 + -4x3 + -1x4 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(1 + 4x + 6x2 + 4x3 + x4) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(1 + 4x + 6x2 + 4x3 + x4)' equal to zero and attempt to solve: Simplifying 1 + 4x + 6x2 + 4x3 + x4 = 0 Solving 1 + 4x + 6x2 + 4x3 + x4 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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