X^2+4y^2+4x-8y+4=0

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Solution for X^2+4y^2+4x-8y+4=0 equation: 


Simplifying
X2 + 4y2 + 4x + -8y + 4 = 0

Reorder the terms:
4 + X2 + 4x + -8y + 4y2 = 0

Solving
4 + X2 + 4x + -8y + 4y2 = 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 + 4x + -8y + -4 + 4y2 = 0 + -4

Reorder the terms:
4 + -4 + X2 + 4x + -8y + 4y2 = 0 + -4

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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