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Simplifying X8 + -1X4 = 0 Reorder the terms: -1X4 + X8 = 0 Solving -1X4 + X8 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), 'X4'. X4(-1 + X4) = 0 Factor a difference between two squares. X4((1 + X2)(-1 + X2)) = 0 Factor a difference between two squares. X4((1 + X2)((1 + X)(-1 + X))) = 0Subproblem 1
Set the factor 'X4' equal to zero and attempt to solve: Simplifying X4 = 0 Solving X4 = 0 Move all terms containing X to the left, all other terms to the right. Simplifying X4 = 0 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 + 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 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 = -1Subproblem 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 = 1Solution
X = {-1, 1}
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