X^2-2xy+2y^2-8=0

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Solution for X^2-2xy+2y^2-8=0 equation:


Simplifying
X2 + -2xy + 2y2 + -8 = 0

Reorder the terms:
-8 + X2 + -2xy + 2y2 = 0

Solving
-8 + X2 + -2xy + 2y2 = 0

Solving for variable 'X'.

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

Add '8' to each side of the equation.
-8 + X2 + -2xy + 8 + 2y2 = 0 + 8

Reorder the terms:
-8 + 8 + X2 + -2xy + 2y2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + X2 + -2xy + 2y2 = 0 + 8
X2 + -2xy + 2y2 = 0 + 8

Combine like terms: 0 + 8 = 8
X2 + -2xy + 2y2 = 8

Add '2xy' to each side of the equation.
X2 + -2xy + 2xy + 2y2 = 8 + 2xy

Combine like terms: -2xy + 2xy = 0
X2 + 0 + 2y2 = 8 + 2xy
X2 + 2y2 = 8 + 2xy

Add '-2y2' to each side of the equation.
X2 + 2y2 + -2y2 = 8 + 2xy + -2y2

Combine like terms: 2y2 + -2y2 = 0
X2 + 0 = 8 + 2xy + -2y2
X2 = 8 + 2xy + -2y2

Simplifying
X2 = 8 + 2xy + -2y2

Reorder the terms:
-8 + X2 + -2xy + 2y2 = 8 + 2xy + -2y2 + -8 + -2xy + 2y2

Reorder the terms:
-8 + X2 + -2xy + 2y2 = 8 + -8 + 2xy + -2xy + -2y2 + 2y2

Combine like terms: 8 + -8 = 0
-8 + X2 + -2xy + 2y2 = 0 + 2xy + -2xy + -2y2 + 2y2
-8 + X2 + -2xy + 2y2 = 2xy + -2xy + -2y2 + 2y2

Combine like terms: 2xy + -2xy = 0
-8 + X2 + -2xy + 2y2 = 0 + -2y2 + 2y2
-8 + X2 + -2xy + 2y2 = -2y2 + 2y2

Combine like terms: -2y2 + 2y2 = 0
-8 + X2 + -2xy + 2y2 = 0

The solution to this equation could not be determined.

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