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Simplifying (xy + -1)(xy + -1) = 0 Reorder the terms: (-1 + xy)(xy + -1) = 0 Reorder the terms: (-1 + xy)(-1 + xy) = 0 Multiply (-1 + xy) * (-1 + xy) (-1(-1 + xy) + xy(-1 + xy)) = 0 ((-1 * -1 + xy * -1) + xy(-1 + xy)) = 0 ((1 + -1xy) + xy(-1 + xy)) = 0 (1 + -1xy + (-1 * xy + xy * xy)) = 0 (1 + -1xy + (-1xy + x2y2)) = 0 Combine like terms: -1xy + -1xy = -2xy (1 + -2xy + x2y2) = 0 Solving 1 + -2xy + x2y2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -1xy)(1 + -1xy) = 0Subproblem 1
Set the factor '(1 + -1xy)' equal to zero and attempt to solve: Simplifying 1 + -1xy = 0 Solving 1 + -1xy = 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 + -1xy = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1xy = 0 + -1 -1xy = 0 + -1 Combine like terms: 0 + -1 = -1 -1xy = -1 Divide each side by '-1y'. x = y-1 Simplifying x = y-1Subproblem 2
Set the factor '(1 + -1xy)' equal to zero and attempt to solve: Simplifying 1 + -1xy = 0 Solving 1 + -1xy = 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 + -1xy = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1xy = 0 + -1 -1xy = 0 + -1 Combine like terms: 0 + -1 = -1 -1xy = -1 Divide each side by '-1y'. x = y-1 Simplifying x = y-1Solution
x = {y-1, y-1}
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