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

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


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

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

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

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

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

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

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

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

Add '-2' to each side of the equation.
2 + 2x + -1xy + -2 + 1y = 0 + -2

Reorder the terms:
2 + -2 + 2x + -1xy + 1y = 0 + -2

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

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

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

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

Reorder the terms:
2 + 2x + -1xy + y = -2 + -1y + 2 + y

Reorder the terms:
2 + 2x + -1xy + y = -2 + 2 + -1y + y

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

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

The solution to this equation could not be determined.

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