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Simplifying x = xi Solving x = ix Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1ix' to each side of the equation. -1ix + x = ix + -1ix Combine like terms: ix + -1ix = 0 -1ix + x = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-1i + 1) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-1i + 1)' equal to zero and attempt to solve: Simplifying -1i + 1 = 0 Reorder the terms: 1 + -1i = 0 Solving 1 + -1i = 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 + -1i = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1i = 0 + -1 -1i = 0 + -1 Combine like terms: 0 + -1 = -1 -1i = -1 Add 'i' to each side of the equation. -1i + i = -1 + i Combine like terms: -1i + i = 0 0 = -1 + i Simplifying 0 = -1 + i The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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