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Simplifying x3 = yx Solving x3 = xy Solving for variable 'x'. Reorder the terms: -1xy + x3 = xy + -1xy Combine like terms: xy + -1xy = 0 -1xy + x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-1y + x2) = 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 '(-1y + x2)' equal to zero and attempt to solve: Simplifying -1y + x2 = 0 Reorder the terms: x2 + -1y = 0 Solving x2 + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. x2 + -1y + y = 0 + y Combine like terms: -1y + y = 0 x2 + 0 = 0 + y x2 = 0 + y Remove the zero: x2 = y Simplifying x2 = y 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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