X^2+y^2-2xy+20x+10=0

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Solution for X^2+y^2-2xy+20x+10=0 equation: 


Simplifying
X2 + y2 + -2xy + 20x + 10 = 0

Reorder the terms:
10 + X2 + 20x + -2xy + y2 = 0

Solving
10 + X2 + 20x + -2xy + y2 = 0

Solving for variable 'X'.

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

Add '-10' to each side of the equation.
10 + X2 + 20x + -2xy + -10 + y2 = 0 + -10

Reorder the terms:
10 + -10 + X2 + 20x + -2xy + y2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + X2 + 20x + -2xy + y2 = 0 + -10
X2 + 20x + -2xy + y2 = 0 + -10

Combine like terms: 0 + -10 = -10
X2 + 20x + -2xy + y2 = -10

Add '-20x' to each side of the equation.
X2 + 20x + -2xy + -20x + y2 = -10 + -20x

Reorder the terms:
X2 + 20x + -20x + -2xy + y2 = -10 + -20x

Combine like terms: 20x + -20x = 0
X2 + 0 + -2xy + y2 = -10 + -20x
X2 + -2xy + y2 = -10 + -20x

Add '2xy' to each side of the equation.
X2 + -2xy + 2xy + y2 = -10 + -20x + 2xy

Combine like terms: -2xy + 2xy = 0
X2 + 0 + y2 = -10 + -20x + 2xy
X2 + y2 = -10 + -20x + 2xy

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = -10 + -20x + 2xy + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = -10 + -20x + 2xy + -1y2
X2 = -10 + -20x + 2xy + -1y2

Simplifying
X2 = -10 + -20x + 2xy + -1y2

Reorder the terms:
10 + X2 + 20x + -2xy + y2 = -10 + -20x + 2xy + -1y2 + 10 + 20x + -2xy + y2

Reorder the terms:
10 + X2 + 20x + -2xy + y2 = -10 + 10 + -20x + 20x + 2xy + -2xy + -1y2 + y2

Combine like terms: -10 + 10 = 0
10 + X2 + 20x + -2xy + y2 = 0 + -20x + 20x + 2xy + -2xy + -1y2 + y2
10 + X2 + 20x + -2xy + y2 = -20x + 20x + 2xy + -2xy + -1y2 + y2

Combine like terms: -20x + 20x = 0
10 + X2 + 20x + -2xy + y2 = 0 + 2xy + -2xy + -1y2 + y2
10 + X2 + 20x + -2xy + y2 = 2xy + -2xy + -1y2 + y2

Combine like terms: 2xy + -2xy = 0
10 + X2 + 20x + -2xy + y2 = 0 + -1y2 + y2
10 + X2 + 20x + -2xy + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
10 + X2 + 20x + -2xy + y2 = 0

The solution to this equation could not be determined.

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