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Simplifying (x + -1)(x2 + 1)(x + 1) = 0 Reorder the terms: (-1 + x)(x2 + 1)(x + 1) = 0 Reorder the terms: (-1 + x)(1 + x2)(x + 1) = 0 Reorder the terms: (-1 + x)(1 + x2)(1 + x) = 0 Multiply (-1 + x) * (1 + x2) (-1(1 + x2) + x(1 + x2))(1 + x) = 0 ((1 * -1 + x2 * -1) + x(1 + x2))(1 + x) = 0 ((-1 + -1x2) + x(1 + x2))(1 + x) = 0 (-1 + -1x2 + (1 * x + x2 * x))(1 + x) = 0 (-1 + -1x2 + (1x + x3))(1 + x) = 0 Reorder the terms: (-1 + 1x + -1x2 + x3)(1 + x) = 0 (-1 + 1x + -1x2 + x3)(1 + x) = 0 Multiply (-1 + 1x + -1x2 + x3) * (1 + x) (-1(1 + x) + 1x * (1 + x) + -1x2 * (1 + x) + x3(1 + x)) = 0 ((1 * -1 + x * -1) + 1x * (1 + x) + -1x2 * (1 + x) + x3(1 + x)) = 0 ((-1 + -1x) + 1x * (1 + x) + -1x2 * (1 + x) + x3(1 + x)) = 0 (-1 + -1x + (1 * 1x + x * 1x) + -1x2 * (1 + x) + x3(1 + x)) = 0 (-1 + -1x + (1x + 1x2) + -1x2 * (1 + x) + x3(1 + x)) = 0 (-1 + -1x + 1x + 1x2 + (1 * -1x2 + x * -1x2) + x3(1 + x)) = 0 (-1 + -1x + 1x + 1x2 + (-1x2 + -1x3) + x3(1 + x)) = 0 (-1 + -1x + 1x + 1x2 + -1x2 + -1x3 + (1 * x3 + x * x3)) = 0 (-1 + -1x + 1x + 1x2 + -1x2 + -1x3 + (1x3 + x4)) = 0 Combine like terms: -1x + 1x = 0 (-1 + 0 + 1x2 + -1x2 + -1x3 + 1x3 + x4) = 0 (-1 + 1x2 + -1x2 + -1x3 + 1x3 + x4) = 0 Combine like terms: 1x2 + -1x2 = 0 (-1 + 0 + -1x3 + 1x3 + x4) = 0 (-1 + -1x3 + 1x3 + x4) = 0 Combine like terms: -1x3 + 1x3 = 0 (-1 + 0 + x4) = 0 (-1 + x4) = 0 Solving -1 + x4 = 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 + x4 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x4 = 0 + 1 x4 = 0 + 1 Combine like terms: 0 + 1 = 1 x4 = 1 Simplifying x4 = 1 Reorder the terms: -1 + x4 = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + x4 = 0 Factor a difference between two squares. (1 + x2)(-1 + x2) = 0 Factor a difference between two squares. (1 + x2)((1 + x)(-1 + x)) = 0Subproblem 1
Set the factor '(1 + x2)' equal to zero and attempt to solve: Simplifying 1 + x2 = 0 Solving 1 + x2 = 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 + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x2 = 0 + -1 x2 = 0 + -1 Combine like terms: 0 + -1 = -1 x2 = -1 Simplifying x2 = -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 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Subproblem 3
Set the factor '(-1 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 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 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Simplifying x = 1Solution
x = {-1, 1}
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