X^2+5y^2=8-2xy

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Solution for X^2+5y^2=8-2xy equation: 


Simplifying
X2 + 5y2 = 8 + -2xy

Solving
X2 + 5y2 = 8 + -2xy

Solving for variable 'X'.

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

Add '-5y2' to each side of the equation.
X2 + 5y2 + -5y2 = 8 + -2xy + -5y2

Combine like terms: 5y2 + -5y2 = 0
X2 + 0 = 8 + -2xy + -5y2
X2 = 8 + -2xy + -5y2

Simplifying
X2 = 8 + -2xy + -5y2

Reorder the terms:
-8 + X2 + 2xy + 5y2 = 8 + -2xy + -5y2 + -8 + 2xy + 5y2

Reorder the terms:
-8 + X2 + 2xy + 5y2 = 8 + -8 + -2xy + 2xy + -5y2 + 5y2

Combine like terms: 8 + -8 = 0
-8 + X2 + 2xy + 5y2 = 0 + -2xy + 2xy + -5y2 + 5y2
-8 + X2 + 2xy + 5y2 = -2xy + 2xy + -5y2 + 5y2

Combine like terms: -2xy + 2xy = 0
-8 + X2 + 2xy + 5y2 = 0 + -5y2 + 5y2
-8 + X2 + 2xy + 5y2 = -5y2 + 5y2

Combine like terms: -5y2 + 5y2 = 0
-8 + X2 + 2xy + 5y2 = 0

The solution to this equation could not be determined.

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