Y^2-2xy-y+x^2=0

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


Simplifying
Y2 + -2xy + -1y + x2 = 0

Reorder the terms:
Y2 + -2xy + x2 + -1y = 0

Solving
Y2 + -2xy + x2 + -1y = 0

Solving for variable 'Y'.

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

Add '2xy' to each side of the equation.
Y2 + -2xy + x2 + 2xy + -1y = 0 + 2xy

Reorder the terms:
Y2 + -2xy + 2xy + x2 + -1y = 0 + 2xy

Combine like terms: -2xy + 2xy = 0
Y2 + 0 + x2 + -1y = 0 + 2xy
Y2 + x2 + -1y = 0 + 2xy
Remove the zero:
Y2 + x2 + -1y = 2xy

Add '-1x2' to each side of the equation.
Y2 + x2 + -1x2 + -1y = 2xy + -1x2

Combine like terms: x2 + -1x2 = 0
Y2 + 0 + -1y = 2xy + -1x2
Y2 + -1y = 2xy + -1x2

Add 'y' to each side of the equation.
Y2 + -1y + y = 2xy + -1x2 + y

Combine like terms: -1y + y = 0
Y2 + 0 = 2xy + -1x2 + y
Y2 = 2xy + -1x2 + y

Simplifying
Y2 = 2xy + -1x2 + y

Reorder the terms:
Y2 + -2xy + x2 + -1y = 2xy + -2xy + -1x2 + x2 + y + -1y

Combine like terms: 2xy + -2xy = 0
Y2 + -2xy + x2 + -1y = 0 + -1x2 + x2 + y + -1y
Y2 + -2xy + x2 + -1y = -1x2 + x2 + y + -1y

Combine like terms: -1x2 + x2 = 0
Y2 + -2xy + x2 + -1y = 0 + y + -1y
Y2 + -2xy + x2 + -1y = y + -1y

Combine like terms: y + -1y = 0
Y2 + -2xy + x2 + -1y = 0

The solution to this equation could not be determined.

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