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Simplifying (x + 1)(x5 + -1x4 + x3 + -1x2 + x + -1) = 0 Reorder the terms: (1 + x)(x5 + -1x4 + x3 + -1x2 + x + -1) = 0 Reorder the terms: (1 + x)(-1 + x + -1x2 + x3 + -1x4 + x5) = 0 Multiply (1 + x) * (-1 + x + -1x2 + x3 + -1x4 + x5) (1(-1 + x + -1x2 + x3 + -1x4 + x5) + x(-1 + x + -1x2 + x3 + -1x4 + x5)) = 0 ((-1 * 1 + x * 1 + -1x2 * 1 + x3 * 1 + -1x4 * 1 + x5 * 1) + x(-1 + x + -1x2 + x3 + -1x4 + x5)) = 0 ((-1 + 1x + -1x2 + 1x3 + -1x4 + 1x5) + x(-1 + x + -1x2 + x3 + -1x4 + x5)) = 0 (-1 + 1x + -1x2 + 1x3 + -1x4 + 1x5 + (-1 * x + x * x + -1x2 * x + x3 * x + -1x4 * x + x5 * x)) = 0 (-1 + 1x + -1x2 + 1x3 + -1x4 + 1x5 + (-1x + x2 + -1x3 + x4 + -1x5 + x6)) = 0 Reorder the terms: (-1 + 1x + -1x + -1x2 + x2 + 1x3 + -1x3 + -1x4 + x4 + 1x5 + -1x5 + x6) = 0 Combine like terms: 1x + -1x = 0 (-1 + 0 + -1x2 + x2 + 1x3 + -1x3 + -1x4 + x4 + 1x5 + -1x5 + x6) = 0 (-1 + -1x2 + x2 + 1x3 + -1x3 + -1x4 + x4 + 1x5 + -1x5 + x6) = 0 Combine like terms: -1x2 + x2 = 0 (-1 + 0 + 1x3 + -1x3 + -1x4 + x4 + 1x5 + -1x5 + x6) = 0 (-1 + 1x3 + -1x3 + -1x4 + x4 + 1x5 + -1x5 + x6) = 0 Combine like terms: 1x3 + -1x3 = 0 (-1 + 0 + -1x4 + x4 + 1x5 + -1x5 + x6) = 0 (-1 + -1x4 + x4 + 1x5 + -1x5 + x6) = 0 Combine like terms: -1x4 + x4 = 0 (-1 + 0 + 1x5 + -1x5 + x6) = 0 (-1 + 1x5 + -1x5 + x6) = 0 Combine like terms: 1x5 + -1x5 = 0 (-1 + 0 + x6) = 0 (-1 + x6) = 0 Solving -1 + x6 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x6 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x6 = 0 + 1 x6 = 0 + 1 Combine like terms: 0 + 1 = 1 x6 = 1 Simplifying x6 = 1 Reorder the terms: -1 + x6 = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + x6 = 0 Factor a difference between two squares. (1 + x3)(-1 + x3) = 0Subproblem 1
Set the factor '(1 + x3)' equal to zero and attempt to solve: Simplifying 1 + x3 = 0 Solving 1 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x3 = 0 + -1 x3 = 0 + -1 Combine like terms: 0 + -1 = -1 x3 = -1 Simplifying x3 = -1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-1 + x3)' equal to zero and attempt to solve: Simplifying -1 + x3 = 0 Solving -1 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x3 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x3 = 0 + 1 x3 = 0 + 1 Combine like terms: 0 + 1 = 1 x3 = 1 Simplifying x3 = 1 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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