2xy=x^2+y^2+2xy

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Solution for 2xy=x^2+y^2+2xy equation:


Simplifying
2xy = x2 + y2 + 2xy

Reorder the terms:
2xy = 2xy + x2 + y2

Add '-2xy' to each side of the equation.
2xy + -2xy = 2xy + x2 + -2xy + y2

Combine like terms: 2xy + -2xy = 0
0 = 2xy + x2 + -2xy + y2

Reorder the terms:
0 = 2xy + -2xy + x2 + y2

Combine like terms: 2xy + -2xy = 0
0 = 0 + x2 + y2
0 = x2 + y2

Solving
0 = x2 + y2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
0 + -1x2 = x2 + -1x2 + y2
Remove the zero:
-1x2 = x2 + -1x2 + y2

Combine like terms: x2 + -1x2 = 0
-1x2 = 0 + y2
-1x2 = y2

Divide each side by '-1'.
x2 = -1y2

Simplifying
x2 = -1y2

Combine like terms: -1y2 + y2 = 0
x2 + y2 = 0

The solution to this equation could not be determined.

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