X^2+4xy+8y^2+2x-8y+16=12

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Solution for X^2+4xy+8y^2+2x-8y+16=12 equation: 


Simplifying
X2 + 4xy + 8y2 + 2x + -8y + 16 = 12

Reorder the terms:
16 + X2 + 2x + 4xy + -8y + 8y2 = 12

Solving
16 + X2 + 2x + 4xy + -8y + 8y2 = 12

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 + 2x + 4xy + -8y + -16 + 8y2 = 12 + -16

Reorder the terms:
16 + -16 + X2 + 2x + 4xy + -8y + 8y2 = 12 + -16

Combine like terms: 16 + -16 = 0
0 + X2 + 2x + 4xy + -8y + 8y2 = 12 + -16
X2 + 2x + 4xy + -8y + 8y2 = 12 + -16

Combine like terms: 12 + -16 = -4
X2 + 2x + 4xy + -8y + 8y2 = -4

Add '-2x' to each side of the equation.
X2 + 2x + 4xy + -8y + -2x + 8y2 = -4 + -2x

Reorder the terms:
X2 + 2x + -2x + 4xy + -8y + 8y2 = -4 + -2x

Combine like terms: 2x + -2x = 0
X2 + 0 + 4xy + -8y + 8y2 = -4 + -2x
X2 + 4xy + -8y + 8y2 = -4 + -2x

Add '-4xy' to each side of the equation.
X2 + 4xy + -8y + -4xy + 8y2 = -4 + -2x + -4xy

Reorder the terms:
X2 + 4xy + -4xy + -8y + 8y2 = -4 + -2x + -4xy

Combine like terms: 4xy + -4xy = 0
X2 + 0 + -8y + 8y2 = -4 + -2x + -4xy
X2 + -8y + 8y2 = -4 + -2x + -4xy

Add '8y' to each side of the equation.
X2 + -8y + 8y + 8y2 = -4 + -2x + -4xy + 8y

Combine like terms: -8y + 8y = 0
X2 + 0 + 8y2 = -4 + -2x + -4xy + 8y
X2 + 8y2 = -4 + -2x + -4xy + 8y

Add '-8y2' to each side of the equation.
X2 + 8y2 + -8y2 = -4 + -2x + -4xy + 8y + -8y2

Combine like terms: 8y2 + -8y2 = 0
X2 + 0 = -4 + -2x + -4xy + 8y + -8y2
X2 = -4 + -2x + -4xy + 8y + -8y2

Simplifying
X2 = -4 + -2x + -4xy + 8y + -8y2

Reorder the terms:
4 + X2 + 2x + 4xy + -8y + 8y2 = -4 + -2x + -4xy + 8y + -8y2 + 4 + 2x + 4xy + -8y + 8y2

Reorder the terms:
4 + X2 + 2x + 4xy + -8y + 8y2 = -4 + 4 + -2x + 2x + -4xy + 4xy + 8y + -8y + -8y2 + 8y2

Combine like terms: -4 + 4 = 0
4 + X2 + 2x + 4xy + -8y + 8y2 = 0 + -2x + 2x + -4xy + 4xy + 8y + -8y + -8y2 + 8y2
4 + X2 + 2x + 4xy + -8y + 8y2 = -2x + 2x + -4xy + 4xy + 8y + -8y + -8y2 + 8y2

Combine like terms: -2x + 2x = 0
4 + X2 + 2x + 4xy + -8y + 8y2 = 0 + -4xy + 4xy + 8y + -8y + -8y2 + 8y2
4 + X2 + 2x + 4xy + -8y + 8y2 = -4xy + 4xy + 8y + -8y + -8y2 + 8y2

Combine like terms: -4xy + 4xy = 0
4 + X2 + 2x + 4xy + -8y + 8y2 = 0 + 8y + -8y + -8y2 + 8y2
4 + X2 + 2x + 4xy + -8y + 8y2 = 8y + -8y + -8y2 + 8y2

Combine like terms: 8y + -8y = 0
4 + X2 + 2x + 4xy + -8y + 8y2 = 0 + -8y2 + 8y2
4 + X2 + 2x + 4xy + -8y + 8y2 = -8y2 + 8y2

Combine like terms: -8y2 + 8y2 = 0
4 + X2 + 2x + 4xy + -8y + 8y2 = 0

The solution to this equation could not be determined.

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