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

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

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

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

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

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

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

Reorder the terms:
1 + 1x + xy + 1y = 1 + x + xy + y

Add '-1' to each side of the equation.
1 + 1x + xy + -1 + 1y = 1 + x + xy + -1 + y

Reorder the terms:
1 + -1 + 1x + xy + 1y = 1 + x + xy + -1 + y

Combine like terms: 1 + -1 = 0
0 + 1x + xy + 1y = 1 + x + xy + -1 + y
1x + xy + 1y = 1 + x + xy + -1 + y

Reorder the terms:
1x + xy + 1y = 1 + -1 + x + xy + y

Combine like terms: 1 + -1 = 0
1x + xy + 1y = 0 + x + xy + y
1x + xy + 1y = x + xy + y

Add '-1xy' to each side of the equation.
1x + xy + -1xy + 1y = x + xy + -1xy + y

Combine like terms: xy + -1xy = 0
1x + 0 + 1y = x + xy + -1xy + y
1x + 1y = x + xy + -1xy + y

Combine like terms: xy + -1xy = 0
1x + 1y = x + 0 + y
1x + 1y = x + y

Solving
1x + 1y = x + y

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.
1x + -1x + 1y = x + -1x + y

Combine like terms: 1x + -1x = 0
0 + 1y = x + -1x + y
1y = x + -1x + y

Combine like terms: x + -1x = 0
1y = 0 + y
1y = y

Add '-1y' to each side of the equation.
1y + -1y = y + -1y

Combine like terms: 1y + -1y = 0
0 = y + -1y

Combine like terms: y + -1y = 0
0 = 0

Simplifying
0 = 0

The solution to this equation could not be determined.