(xy-1)(xy-1)=

Solution for (xy-1)(xy-1)= equation:

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) = 0

Subproblem 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-1
Subproblem 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-1
Solution
x = {y-1, y-1}