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Simplifying x2y2 + -4xy + 4 = 0 Reorder the terms: 4 + -4xy + x2y2 = 0 Solving 4 + -4xy + x2y2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -1xy)(2 + -1xy) = 0Subproblem 1
Set the factor '(2 + -1xy)' equal to zero and attempt to solve: Simplifying 2 + -1xy = 0 Solving 2 + -1xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1xy = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1xy = 0 + -2 -1xy = 0 + -2 Combine like terms: 0 + -2 = -2 -1xy = -2 Divide each side by '-1y'. x = 2y-1 Simplifying x = 2y-1Subproblem 2
Set the factor '(2 + -1xy)' equal to zero and attempt to solve: Simplifying 2 + -1xy = 0 Solving 2 + -1xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1xy = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1xy = 0 + -2 -1xy = 0 + -2 Combine like terms: 0 + -2 = -2 -1xy = -2 Divide each side by '-1y'. x = 2y-1 Simplifying x = 2y-1Solution
x = {2y-1, 2y-1}
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