X^2-4xy-4y^2-32x+4y+16=0

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Solution for X^2-4xy-4y^2-32x+4y+16=0 equation: 


Simplifying
X2 + -4xy + -4y2 + -32x + 4y + 16 = 0

Reorder the terms:
16 + X2 + -32x + -4xy + 4y + -4y2 = 0

Solving
16 + X2 + -32x + -4xy + 4y + -4y2 = 0

Solving for variable 'X'.

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

Add '-16' to each side of the equation.
16 + X2 + -32x + -4xy + 4y + -16 + -4y2 = 0 + -16

Reorder the terms:
16 + -16 + X2 + -32x + -4xy + 4y + -4y2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + X2 + -32x + -4xy + 4y + -4y2 = 0 + -16
X2 + -32x + -4xy + 4y + -4y2 = 0 + -16

Combine like terms: 0 + -16 = -16
X2 + -32x + -4xy + 4y + -4y2 = -16

Add '32x' to each side of the equation.
X2 + -32x + -4xy + 4y + 32x + -4y2 = -16 + 32x

Reorder the terms:
X2 + -32x + 32x + -4xy + 4y + -4y2 = -16 + 32x

Combine like terms: -32x + 32x = 0
X2 + 0 + -4xy + 4y + -4y2 = -16 + 32x
X2 + -4xy + 4y + -4y2 = -16 + 32x

Add '4xy' to each side of the equation.
X2 + -4xy + 4y + 4xy + -4y2 = -16 + 32x + 4xy

Reorder the terms:
X2 + -4xy + 4xy + 4y + -4y2 = -16 + 32x + 4xy

Combine like terms: -4xy + 4xy = 0
X2 + 0 + 4y + -4y2 = -16 + 32x + 4xy
X2 + 4y + -4y2 = -16 + 32x + 4xy

Add '-4y' to each side of the equation.
X2 + 4y + -4y + -4y2 = -16 + 32x + 4xy + -4y

Combine like terms: 4y + -4y = 0
X2 + 0 + -4y2 = -16 + 32x + 4xy + -4y
X2 + -4y2 = -16 + 32x + 4xy + -4y

Add '4y2' to each side of the equation.
X2 + -4y2 + 4y2 = -16 + 32x + 4xy + -4y + 4y2

Combine like terms: -4y2 + 4y2 = 0
X2 + 0 = -16 + 32x + 4xy + -4y + 4y2
X2 = -16 + 32x + 4xy + -4y + 4y2

Simplifying
X2 = -16 + 32x + 4xy + -4y + 4y2

Reorder the terms:
16 + X2 + -32x + -4xy + 4y + -4y2 = -16 + 32x + 4xy + -4y + 4y2 + 16 + -32x + -4xy + 4y + -4y2

Reorder the terms:
16 + X2 + -32x + -4xy + 4y + -4y2 = -16 + 16 + 32x + -32x + 4xy + -4xy + -4y + 4y + 4y2 + -4y2

Combine like terms: -16 + 16 = 0
16 + X2 + -32x + -4xy + 4y + -4y2 = 0 + 32x + -32x + 4xy + -4xy + -4y + 4y + 4y2 + -4y2
16 + X2 + -32x + -4xy + 4y + -4y2 = 32x + -32x + 4xy + -4xy + -4y + 4y + 4y2 + -4y2

Combine like terms: 32x + -32x = 0
16 + X2 + -32x + -4xy + 4y + -4y2 = 0 + 4xy + -4xy + -4y + 4y + 4y2 + -4y2
16 + X2 + -32x + -4xy + 4y + -4y2 = 4xy + -4xy + -4y + 4y + 4y2 + -4y2

Combine like terms: 4xy + -4xy = 0
16 + X2 + -32x + -4xy + 4y + -4y2 = 0 + -4y + 4y + 4y2 + -4y2
16 + X2 + -32x + -4xy + 4y + -4y2 = -4y + 4y + 4y2 + -4y2

Combine like terms: -4y + 4y = 0
16 + X2 + -32x + -4xy + 4y + -4y2 = 0 + 4y2 + -4y2
16 + X2 + -32x + -4xy + 4y + -4y2 = 4y2 + -4y2

Combine like terms: 4y2 + -4y2 = 0
16 + X2 + -32x + -4xy + 4y + -4y2 = 0

The solution to this equation could not be determined.

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