X^2+2xy+y^2+4x+4y+4+x+y=0

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


Simplifying
X2 + 2xy + y2 + 4x + 4y + 4 + x + y = 0

Reorder the terms:
4 + X2 + 4x + x + 2xy + 4y + y + y2 = 0

Combine like terms: 4x + x = 5x
4 + X2 + 5x + 2xy + 4y + y + y2 = 0

Combine like terms: 4y + y = 5y
4 + X2 + 5x + 2xy + 5y + y2 = 0

Solving
4 + X2 + 5x + 2xy + 5y + y2 = 0

Solving for variable 'X'.

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

Add '-4' to each side of the equation.
4 + X2 + 5x + 2xy + 5y + -4 + y2 = 0 + -4

Reorder the terms:
4 + -4 + X2 + 5x + 2xy + 5y + y2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + X2 + 5x + 2xy + 5y + y2 = 0 + -4
X2 + 5x + 2xy + 5y + y2 = 0 + -4

Combine like terms: 0 + -4 = -4
X2 + 5x + 2xy + 5y + y2 = -4

Add '-5x' to each side of the equation.
X2 + 5x + 2xy + 5y + -5x + y2 = -4 + -5x

Reorder the terms:
X2 + 5x + -5x + 2xy + 5y + y2 = -4 + -5x

Combine like terms: 5x + -5x = 0
X2 + 0 + 2xy + 5y + y2 = -4 + -5x
X2 + 2xy + 5y + y2 = -4 + -5x

Add '-2xy' to each side of the equation.
X2 + 2xy + 5y + -2xy + y2 = -4 + -5x + -2xy

Reorder the terms:
X2 + 2xy + -2xy + 5y + y2 = -4 + -5x + -2xy

Combine like terms: 2xy + -2xy = 0
X2 + 0 + 5y + y2 = -4 + -5x + -2xy
X2 + 5y + y2 = -4 + -5x + -2xy

Add '-5y' to each side of the equation.
X2 + 5y + -5y + y2 = -4 + -5x + -2xy + -5y

Combine like terms: 5y + -5y = 0
X2 + 0 + y2 = -4 + -5x + -2xy + -5y
X2 + y2 = -4 + -5x + -2xy + -5y

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = -4 + -5x + -2xy + -5y + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = -4 + -5x + -2xy + -5y + -1y2
X2 = -4 + -5x + -2xy + -5y + -1y2

Simplifying
X2 = -4 + -5x + -2xy + -5y + -1y2

Reorder the terms:
4 + X2 + 5x + 2xy + 5y + y2 = -4 + -5x + -2xy + -5y + -1y2 + 4 + 5x + 2xy + 5y + y2

Reorder the terms:
4 + X2 + 5x + 2xy + 5y + y2 = -4 + 4 + -5x + 5x + -2xy + 2xy + -5y + 5y + -1y2 + y2

Combine like terms: -4 + 4 = 0
4 + X2 + 5x + 2xy + 5y + y2 = 0 + -5x + 5x + -2xy + 2xy + -5y + 5y + -1y2 + y2
4 + X2 + 5x + 2xy + 5y + y2 = -5x + 5x + -2xy + 2xy + -5y + 5y + -1y2 + y2

Combine like terms: -5x + 5x = 0
4 + X2 + 5x + 2xy + 5y + y2 = 0 + -2xy + 2xy + -5y + 5y + -1y2 + y2
4 + X2 + 5x + 2xy + 5y + y2 = -2xy + 2xy + -5y + 5y + -1y2 + y2

Combine like terms: -2xy + 2xy = 0
4 + X2 + 5x + 2xy + 5y + y2 = 0 + -5y + 5y + -1y2 + y2
4 + X2 + 5x + 2xy + 5y + y2 = -5y + 5y + -1y2 + y2

Combine like terms: -5y + 5y = 0
4 + X2 + 5x + 2xy + 5y + y2 = 0 + -1y2 + y2
4 + X2 + 5x + 2xy + 5y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
4 + X2 + 5x + 2xy + 5y + y2 = 0

The solution to this equation could not be determined.

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