(x)(y)(x+1)(y+1)=1

Solution for (x)(y)(x+1)(y+1)=1 equation:

Simplifying
(x)(y)(x + 1)(y + 1) = 1

Reorder the terms:
x * y(1 + x)(y + 1) = 1

Reorder the terms:
x * y(1 + x)(1 + y) = 1

Multiply x * y
xy(1 + x)(1 + y) = 1

Multiply (1 + x) * (1 + y)
xy(1(1 + y) + x(1 + y)) = 1
xy((1 * 1 + y * 1) + x(1 + y)) = 1
xy((1 + 1y) + x(1 + y)) = 1
xy(1 + 1y + (1 * x + y * x)) = 1
xy(1 + 1y + (1x + xy)) = 1

Reorder the terms:
xy(1 + 1x + xy + 1y) = 1
xy(1 + 1x + xy + 1y) = 1
(1 * xy + 1x * xy + xy * xy + 1y * xy) = 1

Reorder the terms:
(1xy + 1xy2 + 1x2y + x2y2) = 1
(1xy + 1xy2 + 1x2y + x2y2) = 1

Solving
1xy + 1xy2 + 1x2y + x2y2 = 1

Solving for variable 'x'.

Reorder the terms:
-1 + 1xy + 1xy2 + 1x2y + x2y2 = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 1xy + 1xy2 + 1x2y + x2y2 = 0

The solution to this equation could not be determined.