X^2-4x+y^2-12y+31=0

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Solution for X^2-4x+y^2-12y+31=0 equation: 


Simplifying
X2 + -4x + y2 + -12y + 31 = 0

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

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

Solving for variable 'X'.

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

Add '-31' to each side of the equation.
31 + X2 + -4x + -12y + -31 + y2 = 0 + -31

Reorder the terms:
31 + -31 + X2 + -4x + -12y + y2 = 0 + -31

Combine like terms: 31 + -31 = 0
0 + X2 + -4x + -12y + y2 = 0 + -31
X2 + -4x + -12y + y2 = 0 + -31

Combine like terms: 0 + -31 = -31
X2 + -4x + -12y + y2 = -31

Add '4x' to each side of the equation.
X2 + -4x + -12y + 4x + y2 = -31 + 4x

Reorder the terms:
X2 + -4x + 4x + -12y + y2 = -31 + 4x

Combine like terms: -4x + 4x = 0
X2 + 0 + -12y + y2 = -31 + 4x
X2 + -12y + y2 = -31 + 4x

Add '12y' to each side of the equation.
X2 + -12y + 12y + y2 = -31 + 4x + 12y

Combine like terms: -12y + 12y = 0
X2 + 0 + y2 = -31 + 4x + 12y
X2 + y2 = -31 + 4x + 12y

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = -31 + 4x + 12y + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = -31 + 4x + 12y + -1y2
X2 = -31 + 4x + 12y + -1y2

Simplifying
X2 = -31 + 4x + 12y + -1y2

Reorder the terms:
31 + X2 + -4x + -12y + y2 = -31 + 4x + 12y + -1y2 + 31 + -4x + -12y + y2

Reorder the terms:
31 + X2 + -4x + -12y + y2 = -31 + 31 + 4x + -4x + 12y + -12y + -1y2 + y2

Combine like terms: -31 + 31 = 0
31 + X2 + -4x + -12y + y2 = 0 + 4x + -4x + 12y + -12y + -1y2 + y2
31 + X2 + -4x + -12y + y2 = 4x + -4x + 12y + -12y + -1y2 + y2

Combine like terms: 4x + -4x = 0
31 + X2 + -4x + -12y + y2 = 0 + 12y + -12y + -1y2 + y2
31 + X2 + -4x + -12y + y2 = 12y + -12y + -1y2 + y2

Combine like terms: 12y + -12y = 0
31 + X2 + -4x + -12y + y2 = 0 + -1y2 + y2
31 + X2 + -4x + -12y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
31 + X2 + -4x + -12y + y2 = 0

The solution to this equation could not be determined.

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