X^2+8x+y^2-12y=14

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Solution for X^2+8x+y^2-12y=14 equation: 


Simplifying
X2 + 8x + y2 + -12y = 14

Reorder the terms:
X2 + 8x + -12y + y2 = 14

Solving
X2 + 8x + -12y + y2 = 14

Solving for variable 'X'.

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

Add '-8x' to each side of the equation.
X2 + 8x + -12y + -8x + y2 = 14 + -8x

Reorder the terms:
X2 + 8x + -8x + -12y + y2 = 14 + -8x

Combine like terms: 8x + -8x = 0
X2 + 0 + -12y + y2 = 14 + -8x
X2 + -12y + y2 = 14 + -8x

Add '12y' to each side of the equation.
X2 + -12y + 12y + y2 = 14 + -8x + 12y

Combine like terms: -12y + 12y = 0
X2 + 0 + y2 = 14 + -8x + 12y
X2 + y2 = 14 + -8x + 12y

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = 14 + -8x + 12y + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = 14 + -8x + 12y + -1y2
X2 = 14 + -8x + 12y + -1y2

Simplifying
X2 = 14 + -8x + 12y + -1y2

Reorder the terms:
-14 + X2 + 8x + -12y + y2 = 14 + -8x + 12y + -1y2 + -14 + 8x + -12y + y2

Reorder the terms:
-14 + X2 + 8x + -12y + y2 = 14 + -14 + -8x + 8x + 12y + -12y + -1y2 + y2

Combine like terms: 14 + -14 = 0
-14 + X2 + 8x + -12y + y2 = 0 + -8x + 8x + 12y + -12y + -1y2 + y2
-14 + X2 + 8x + -12y + y2 = -8x + 8x + 12y + -12y + -1y2 + y2

Combine like terms: -8x + 8x = 0
-14 + X2 + 8x + -12y + y2 = 0 + 12y + -12y + -1y2 + y2
-14 + X2 + 8x + -12y + y2 = 12y + -12y + -1y2 + y2

Combine like terms: 12y + -12y = 0
-14 + X2 + 8x + -12y + y2 = 0 + -1y2 + y2
-14 + X2 + 8x + -12y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-14 + X2 + 8x + -12y + y2 = 0

The solution to this equation could not be determined.

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