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Simplifying y(x) + y(x) = x Multiply y * x xy + y(x) = x Multiply y * x xy + xy = x Combine like terms: xy + xy = 2xy 2xy = x Solving 2xy = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -1x + 2xy = x + -1x Combine like terms: x + -1x = 0 -1x + 2xy = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-1 + 2y) = 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 '(-1 + 2y)' equal to zero and attempt to solve: Simplifying -1 + 2y = 0 Solving -1 + 2y = 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 + 2y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2y = 0 + 1 2y = 0 + 1 Combine like terms: 0 + 1 = 1 2y = 1 Add '-2y' to each side of the equation. 2y + -2y = 1 + -2y Combine like terms: 2y + -2y = 0 0 = 1 + -2y Simplifying 0 = 1 + -2y 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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