2xy+x^2+y^2+(x^2-2xy+y^2)=0

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Solution for 2xy+x^2+y^2+(x^2-2xy+y^2)=0 equation:


Simplifying
2xy + x2 + y2 + (x2 + -2xy + y2) = 0

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

Remove parenthesis around (-2xy + x2 + y2)
2xy + x2 + y2 + -2xy + x2 + y2 = 0

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

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

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

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

Solving
2x2 + 2y2 = 0

Solving for variable 'x'.

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

Add '-2y2' to each side of the equation.
2x2 + 2y2 + -2y2 = 0 + -2y2

Combine like terms: 2y2 + -2y2 = 0
2x2 + 0 = 0 + -2y2
2x2 = 0 + -2y2
Remove the zero:
2x2 = -2y2

Divide each side by '2'.
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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