X^2+2x+1y^2+12y=27

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Solution for X^2+2x+1y^2+12y=27 equation: 


Simplifying
X2 + 2x + 1y2 + 12y = 27

Reorder the terms:
X2 + 2x + 12y + 1y2 = 27

Solving
X2 + 2x + 12y + 1y2 = 27

Solving for variable 'X'.

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

Add '-2x' to each side of the equation.
X2 + 2x + 12y + -2x + 1y2 = 27 + -2x

Reorder the terms:
X2 + 2x + -2x + 12y + 1y2 = 27 + -2x

Combine like terms: 2x + -2x = 0
X2 + 0 + 12y + 1y2 = 27 + -2x
X2 + 12y + 1y2 = 27 + -2x

Add '-12y' to each side of the equation.
X2 + 12y + -12y + 1y2 = 27 + -2x + -12y

Combine like terms: 12y + -12y = 0
X2 + 0 + 1y2 = 27 + -2x + -12y
X2 + 1y2 = 27 + -2x + -12y

Add '-1y2' to each side of the equation.
X2 + 1y2 + -1y2 = 27 + -2x + -12y + -1y2

Combine like terms: 1y2 + -1y2 = 0
X2 + 0 = 27 + -2x + -12y + -1y2
X2 = 27 + -2x + -12y + -1y2

Simplifying
X2 = 27 + -2x + -12y + -1y2

Reorder the terms:
-27 + X2 + 2x + 12y + y2 = 27 + -2x + -12y + -1y2 + -27 + 2x + 12y + y2

Reorder the terms:
-27 + X2 + 2x + 12y + y2 = 27 + -27 + -2x + 2x + -12y + 12y + -1y2 + y2

Combine like terms: 27 + -27 = 0
-27 + X2 + 2x + 12y + y2 = 0 + -2x + 2x + -12y + 12y + -1y2 + y2
-27 + X2 + 2x + 12y + y2 = -2x + 2x + -12y + 12y + -1y2 + y2

Combine like terms: -2x + 2x = 0
-27 + X2 + 2x + 12y + y2 = 0 + -12y + 12y + -1y2 + y2
-27 + X2 + 2x + 12y + y2 = -12y + 12y + -1y2 + y2

Combine like terms: -12y + 12y = 0
-27 + X2 + 2x + 12y + y2 = 0 + -1y2 + y2
-27 + X2 + 2x + 12y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-27 + X2 + 2x + 12y + y2 = 0

The solution to this equation could not be determined.

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