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Simplifying x16 + -1 = 0 Reorder the terms: -1 + x16 = 0 Solving -1 + x16 = 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 + x16 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x16 = 0 + 1 x16 = 0 + 1 Combine like terms: 0 + 1 = 1 x16 = 1 Simplifying x16 = 1 Reorder the terms: -1 + x16 = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + x16 = 0 Factor a difference between two squares. (1 + x8)(-1 + x8) = 0 Factor a difference between two squares. (1 + x8)((1 + x4)(-1 + x4)) = 0 Factor a difference between two squares. (1 + x8)((1 + x4)((1 + x2)(-1 + x2))) = 0 Factor a difference between two squares. (1 + x8)((1 + x4)((1 + x2)((1 + x)(-1 + x)))) = 0Subproblem 1
Set the factor '(1 + x8)' equal to zero and attempt to solve: Simplifying 1 + x8 = 0 Solving 1 + x8 = 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 + x8 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x8 = 0 + -1 x8 = 0 + -1 Combine like terms: 0 + -1 = -1 x8 = -1 Simplifying x8 = -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 + x4)' equal to zero and attempt to solve: Simplifying 1 + x4 = 0 Solving 1 + x4 = 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 + 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 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
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 4
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 5
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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