(x+1)(y+1)=2xy

Solution for (x+1)(y+1)=2xy equation:

Simplifying
(x + 1)(y + 1) = 2xy

Reorder the terms:
(1 + x)(y + 1) = 2xy

Reorder the terms:
(1 + x)(1 + y) = 2xy

Multiply (1 + x) * (1 + y)
(1(1 + y) + x(1 + y)) = 2xy
((1 * 1 + y * 1) + x(1 + y)) = 2xy
((1 + 1y) + x(1 + y)) = 2xy
(1 + 1y + (1 * x + y * x)) = 2xy
(1 + 1y + (1x + xy)) = 2xy

Reorder the terms:
(1 + 1x + xy + 1y) = 2xy
(1 + 1x + xy + 1y) = 2xy

Solving
1 + 1x + xy + 1y = 2xy

Solving for variable 'x'.

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

Add '-2xy' to each side of the equation.
1 + 1x + xy + -2xy + 1y = 2xy + -2xy

Combine like terms: xy + -2xy = -1xy
1 + 1x + -1xy + 1y = 2xy + -2xy

Combine like terms: 2xy + -2xy = 0
1 + 1x + -1xy + 1y = 0

Add '-1' to each side of the equation.
1 + 1x + -1xy + -1 + 1y = 0 + -1

Reorder the terms:
1 + -1 + 1x + -1xy + 1y = 0 + -1

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.