X^2+y^2-12xy-4x-6y-13=0

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Solution for X^2+y^2-12xy-4x-6y-13=0 equation: 


Simplifying
X2 + y2 + -12xy + -4x + -6y + -13 = 0

Reorder the terms:
-13 + X2 + -4x + -12xy + -6y + y2 = 0

Solving
-13 + X2 + -4x + -12xy + -6y + y2 = 0

Solving for variable 'X'.

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

Add '13' to each side of the equation.
-13 + X2 + -4x + -12xy + -6y + 13 + y2 = 0 + 13

Reorder the terms:
-13 + 13 + X2 + -4x + -12xy + -6y + y2 = 0 + 13

Combine like terms: -13 + 13 = 0
0 + X2 + -4x + -12xy + -6y + y2 = 0 + 13
X2 + -4x + -12xy + -6y + y2 = 0 + 13

Combine like terms: 0 + 13 = 13
X2 + -4x + -12xy + -6y + y2 = 13

Add '4x' to each side of the equation.
X2 + -4x + -12xy + -6y + 4x + y2 = 13 + 4x

Reorder the terms:
X2 + -4x + 4x + -12xy + -6y + y2 = 13 + 4x

Combine like terms: -4x + 4x = 0
X2 + 0 + -12xy + -6y + y2 = 13 + 4x
X2 + -12xy + -6y + y2 = 13 + 4x

Add '12xy' to each side of the equation.
X2 + -12xy + -6y + 12xy + y2 = 13 + 4x + 12xy

Reorder the terms:
X2 + -12xy + 12xy + -6y + y2 = 13 + 4x + 12xy

Combine like terms: -12xy + 12xy = 0
X2 + 0 + -6y + y2 = 13 + 4x + 12xy
X2 + -6y + y2 = 13 + 4x + 12xy

Add '6y' to each side of the equation.
X2 + -6y + 6y + y2 = 13 + 4x + 12xy + 6y

Combine like terms: -6y + 6y = 0
X2 + 0 + y2 = 13 + 4x + 12xy + 6y
X2 + y2 = 13 + 4x + 12xy + 6y

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = 13 + 4x + 12xy + 6y + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = 13 + 4x + 12xy + 6y + -1y2
X2 = 13 + 4x + 12xy + 6y + -1y2

Simplifying
X2 = 13 + 4x + 12xy + 6y + -1y2

Reorder the terms:
-13 + X2 + -4x + -12xy + -6y + y2 = 13 + 4x + 12xy + 6y + -1y2 + -13 + -4x + -12xy + -6y + y2

Reorder the terms:
-13 + X2 + -4x + -12xy + -6y + y2 = 13 + -13 + 4x + -4x + 12xy + -12xy + 6y + -6y + -1y2 + y2

Combine like terms: 13 + -13 = 0
-13 + X2 + -4x + -12xy + -6y + y2 = 0 + 4x + -4x + 12xy + -12xy + 6y + -6y + -1y2 + y2
-13 + X2 + -4x + -12xy + -6y + y2 = 4x + -4x + 12xy + -12xy + 6y + -6y + -1y2 + y2

Combine like terms: 4x + -4x = 0
-13 + X2 + -4x + -12xy + -6y + y2 = 0 + 12xy + -12xy + 6y + -6y + -1y2 + y2
-13 + X2 + -4x + -12xy + -6y + y2 = 12xy + -12xy + 6y + -6y + -1y2 + y2

Combine like terms: 12xy + -12xy = 0
-13 + X2 + -4x + -12xy + -6y + y2 = 0 + 6y + -6y + -1y2 + y2
-13 + X2 + -4x + -12xy + -6y + y2 = 6y + -6y + -1y2 + y2

Combine like terms: 6y + -6y = 0
-13 + X2 + -4x + -12xy + -6y + y2 = 0 + -1y2 + y2
-13 + X2 + -4x + -12xy + -6y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-13 + X2 + -4x + -12xy + -6y + y2 = 0

The solution to this equation could not be determined.

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