X^2+4y^2-4x-12y-12=0

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Solution for X^2+4y^2-4x-12y-12=0 equation: 


Simplifying
X2 + 4y2 + -4x + -12y + -12 = 0

Reorder the terms:
-12 + X2 + -4x + -12y + 4y2 = 0

Solving
-12 + X2 + -4x + -12y + 4y2 = 0

Solving for variable 'X'.

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

Add '12' to each side of the equation.
-12 + X2 + -4x + -12y + 12 + 4y2 = 0 + 12

Reorder the terms:
-12 + 12 + X2 + -4x + -12y + 4y2 = 0 + 12

Combine like terms: -12 + 12 = 0
0 + X2 + -4x + -12y + 4y2 = 0 + 12
X2 + -4x + -12y + 4y2 = 0 + 12

Combine like terms: 0 + 12 = 12
X2 + -4x + -12y + 4y2 = 12

Add '4x' to each side of the equation.
X2 + -4x + -12y + 4x + 4y2 = 12 + 4x

Reorder the terms:
X2 + -4x + 4x + -12y + 4y2 = 12 + 4x

Combine like terms: -4x + 4x = 0
X2 + 0 + -12y + 4y2 = 12 + 4x
X2 + -12y + 4y2 = 12 + 4x

Add '12y' to each side of the equation.
X2 + -12y + 12y + 4y2 = 12 + 4x + 12y

Combine like terms: -12y + 12y = 0
X2 + 0 + 4y2 = 12 + 4x + 12y
X2 + 4y2 = 12 + 4x + 12y

Add '-4y2' to each side of the equation.
X2 + 4y2 + -4y2 = 12 + 4x + 12y + -4y2

Combine like terms: 4y2 + -4y2 = 0
X2 + 0 = 12 + 4x + 12y + -4y2
X2 = 12 + 4x + 12y + -4y2

Simplifying
X2 = 12 + 4x + 12y + -4y2

Reorder the terms:
-12 + X2 + -4x + -12y + 4y2 = 12 + 4x + 12y + -4y2 + -12 + -4x + -12y + 4y2

Reorder the terms:
-12 + X2 + -4x + -12y + 4y2 = 12 + -12 + 4x + -4x + 12y + -12y + -4y2 + 4y2

Combine like terms: 12 + -12 = 0
-12 + X2 + -4x + -12y + 4y2 = 0 + 4x + -4x + 12y + -12y + -4y2 + 4y2
-12 + X2 + -4x + -12y + 4y2 = 4x + -4x + 12y + -12y + -4y2 + 4y2

Combine like terms: 4x + -4x = 0
-12 + X2 + -4x + -12y + 4y2 = 0 + 12y + -12y + -4y2 + 4y2
-12 + X2 + -4x + -12y + 4y2 = 12y + -12y + -4y2 + 4y2

Combine like terms: 12y + -12y = 0
-12 + X2 + -4x + -12y + 4y2 = 0 + -4y2 + 4y2
-12 + X2 + -4x + -12y + 4y2 = -4y2 + 4y2

Combine like terms: -4y2 + 4y2 = 0
-12 + X2 + -4x + -12y + 4y2 = 0

The solution to this equation could not be determined.

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