0=x^2+3y^2-2x-10y+2xy+6

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Solution for 0=x^2+3y^2-2x-10y+2xy+6 equation: 


Simplifying
0 = x2 + 3y2 + -2x + -10y + 2xy + 6

Reorder the terms:
0 = 6 + -2x + 2xy + x2 + -10y + 3y2

Solving
0 = 6 + -2x + 2xy + x2 + -10y + 3y2

Solving for variable 'x'.

Combine like terms: 0 + -6 = -6
-6 + 2x + -2xy + -1x2 + 10y + -3y2 = 6 + -2x + 2xy + x2 + -10y + 3y2 + -6 + 2x + -2xy + -1x2 + 10y + -3y2

Reorder the terms:
-6 + 2x + -2xy + -1x2 + 10y + -3y2 = 6 + -6 + -2x + 2x + 2xy + -2xy + x2 + -1x2 + -10y + 10y + 3y2 + -3y2

Combine like terms: 6 + -6 = 0
-6 + 2x + -2xy + -1x2 + 10y + -3y2 = 0 + -2x + 2x + 2xy + -2xy + x2 + -1x2 + -10y + 10y + 3y2 + -3y2
-6 + 2x + -2xy + -1x2 + 10y + -3y2 = -2x + 2x + 2xy + -2xy + x2 + -1x2 + -10y + 10y + 3y2 + -3y2

Combine like terms: -2x + 2x = 0
-6 + 2x + -2xy + -1x2 + 10y + -3y2 = 0 + 2xy + -2xy + x2 + -1x2 + -10y + 10y + 3y2 + -3y2
-6 + 2x + -2xy + -1x2 + 10y + -3y2 = 2xy + -2xy + x2 + -1x2 + -10y + 10y + 3y2 + -3y2

Combine like terms: 2xy + -2xy = 0
-6 + 2x + -2xy + -1x2 + 10y + -3y2 = 0 + x2 + -1x2 + -10y + 10y + 3y2 + -3y2
-6 + 2x + -2xy + -1x2 + 10y + -3y2 = x2 + -1x2 + -10y + 10y + 3y2 + -3y2

Combine like terms: x2 + -1x2 = 0
-6 + 2x + -2xy + -1x2 + 10y + -3y2 = 0 + -10y + 10y + 3y2 + -3y2
-6 + 2x + -2xy + -1x2 + 10y + -3y2 = -10y + 10y + 3y2 + -3y2

Combine like terms: -10y + 10y = 0
-6 + 2x + -2xy + -1x2 + 10y + -3y2 = 0 + 3y2 + -3y2
-6 + 2x + -2xy + -1x2 + 10y + -3y2 = 3y2 + -3y2

Combine like terms: 3y2 + -3y2 = 0
-6 + 2x + -2xy + -1x2 + 10y + -3y2 = 0

The solution to this equation could not be determined.

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