X^2+y^2+xy-6x-6y=24

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Solution for X^2+y^2+xy-6x-6y=24 equation: 


Simplifying
X2 + y2 + xy + -6x + -6y = 24

Reorder the terms:
X2 + -6x + xy + -6y + y2 = 24

Solving
X2 + -6x + xy + -6y + y2 = 24

Solving for variable 'X'.

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

Add '6x' to each side of the equation.
X2 + -6x + xy + -6y + 6x + y2 = 24 + 6x

Reorder the terms:
X2 + -6x + 6x + xy + -6y + y2 = 24 + 6x

Combine like terms: -6x + 6x = 0
X2 + 0 + xy + -6y + y2 = 24 + 6x
X2 + xy + -6y + y2 = 24 + 6x

Add '-1xy' to each side of the equation.
X2 + xy + -6y + -1xy + y2 = 24 + 6x + -1xy

Reorder the terms:
X2 + xy + -1xy + -6y + y2 = 24 + 6x + -1xy

Combine like terms: xy + -1xy = 0
X2 + 0 + -6y + y2 = 24 + 6x + -1xy
X2 + -6y + y2 = 24 + 6x + -1xy

Add '6y' to each side of the equation.
X2 + -6y + 6y + y2 = 24 + 6x + -1xy + 6y

Combine like terms: -6y + 6y = 0
X2 + 0 + y2 = 24 + 6x + -1xy + 6y
X2 + y2 = 24 + 6x + -1xy + 6y

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = 24 + 6x + -1xy + 6y + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = 24 + 6x + -1xy + 6y + -1y2
X2 = 24 + 6x + -1xy + 6y + -1y2

Simplifying
X2 = 24 + 6x + -1xy + 6y + -1y2

Reorder the terms:
-24 + X2 + -6x + xy + -6y + y2 = 24 + 6x + -1xy + 6y + -1y2 + -24 + -6x + xy + -6y + y2

Reorder the terms:
-24 + X2 + -6x + xy + -6y + y2 = 24 + -24 + 6x + -6x + -1xy + xy + 6y + -6y + -1y2 + y2

Combine like terms: 24 + -24 = 0
-24 + X2 + -6x + xy + -6y + y2 = 0 + 6x + -6x + -1xy + xy + 6y + -6y + -1y2 + y2
-24 + X2 + -6x + xy + -6y + y2 = 6x + -6x + -1xy + xy + 6y + -6y + -1y2 + y2

Combine like terms: 6x + -6x = 0
-24 + X2 + -6x + xy + -6y + y2 = 0 + -1xy + xy + 6y + -6y + -1y2 + y2
-24 + X2 + -6x + xy + -6y + y2 = -1xy + xy + 6y + -6y + -1y2 + y2

Combine like terms: -1xy + xy = 0
-24 + X2 + -6x + xy + -6y + y2 = 0 + 6y + -6y + -1y2 + y2
-24 + X2 + -6x + xy + -6y + y2 = 6y + -6y + -1y2 + y2

Combine like terms: 6y + -6y = 0
-24 + X2 + -6x + xy + -6y + y2 = 0 + -1y2 + y2
-24 + X2 + -6x + xy + -6y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-24 + X2 + -6x + xy + -6y + y2 = 0

The solution to this equation could not be determined.

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