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Simplifying 2x2 = 2xy Solving 2x2 = 2xy Solving for variable 'x'. Reorder the terms: -2xy + 2x2 = 2xy + -2xy Combine like terms: 2xy + -2xy = 0 -2xy + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-1y + x) = 0 Ignore the factor 2.Subproblem 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 + x)' equal to zero and attempt to solve: Simplifying -1y + x = 0 Reorder the terms: x + -1y = 0 Solving x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. x + -1y + y = 0 + y Combine like terms: -1y + y = 0 x + 0 = 0 + y x = 0 + y Remove the zero: x = y Simplifying x = ySolution
x = {0, y}
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