X^2+y^2+6x-12y+41=0

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Solution for X^2+y^2+6x-12y+41=0 equation: 


Simplifying
X2 + y2 + 6x + -12y + 41 = 0

Reorder the terms:
41 + X2 + 6x + -12y + y2 = 0

Solving
41 + X2 + 6x + -12y + y2 = 0

Solving for variable 'X'.

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

Add '-41' to each side of the equation.
41 + X2 + 6x + -12y + -41 + y2 = 0 + -41

Reorder the terms:
41 + -41 + X2 + 6x + -12y + y2 = 0 + -41

Combine like terms: 41 + -41 = 0
0 + X2 + 6x + -12y + y2 = 0 + -41
X2 + 6x + -12y + y2 = 0 + -41

Combine like terms: 0 + -41 = -41
X2 + 6x + -12y + y2 = -41

Add '-6x' to each side of the equation.
X2 + 6x + -12y + -6x + y2 = -41 + -6x

Reorder the terms:
X2 + 6x + -6x + -12y + y2 = -41 + -6x

Combine like terms: 6x + -6x = 0
X2 + 0 + -12y + y2 = -41 + -6x
X2 + -12y + y2 = -41 + -6x

Add '12y' to each side of the equation.
X2 + -12y + 12y + y2 = -41 + -6x + 12y

Combine like terms: -12y + 12y = 0
X2 + 0 + y2 = -41 + -6x + 12y
X2 + y2 = -41 + -6x + 12y

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = -41 + -6x + 12y + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = -41 + -6x + 12y + -1y2
X2 = -41 + -6x + 12y + -1y2

Simplifying
X2 = -41 + -6x + 12y + -1y2

Reorder the terms:
41 + X2 + 6x + -12y + y2 = -41 + -6x + 12y + -1y2 + 41 + 6x + -12y + y2

Reorder the terms:
41 + X2 + 6x + -12y + y2 = -41 + 41 + -6x + 6x + 12y + -12y + -1y2 + y2

Combine like terms: -41 + 41 = 0
41 + X2 + 6x + -12y + y2 = 0 + -6x + 6x + 12y + -12y + -1y2 + y2
41 + X2 + 6x + -12y + y2 = -6x + 6x + 12y + -12y + -1y2 + y2

Combine like terms: -6x + 6x = 0
41 + X2 + 6x + -12y + y2 = 0 + 12y + -12y + -1y2 + y2
41 + X2 + 6x + -12y + y2 = 12y + -12y + -1y2 + y2

Combine like terms: 12y + -12y = 0
41 + X2 + 6x + -12y + y2 = 0 + -1y2 + y2
41 + X2 + 6x + -12y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
41 + X2 + 6x + -12y + y2 = 0

The solution to this equation could not be determined.

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