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

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


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

Reorder the terms for easier multiplication:
2(x + y) = x + xy + y
(x * 2 + y * 2) = x + xy + y
(2x + 2y) = x + xy + y

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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