X^2+y^2-6x+4y+12=0

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Solution for X^2+y^2-6x+4y+12=0 equation: 


Simplifying
X2 + y2 + -6x + 4y + 12 = 0

Reorder the terms:
12 + X2 + -6x + 4y + y2 = 0

Solving
12 + X2 + -6x + 4y + y2 = 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 + -6x + 4y + -12 + y2 = 0 + -12

Reorder the terms:
12 + -12 + X2 + -6x + 4y + y2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + X2 + -6x + 4y + y2 = 0 + -12
X2 + -6x + 4y + y2 = 0 + -12

Combine like terms: 0 + -12 = -12
X2 + -6x + 4y + y2 = -12

Add '6x' to each side of the equation.
X2 + -6x + 4y + 6x + y2 = -12 + 6x

Reorder the terms:
X2 + -6x + 6x + 4y + y2 = -12 + 6x

Combine like terms: -6x + 6x = 0
X2 + 0 + 4y + y2 = -12 + 6x
X2 + 4y + y2 = -12 + 6x

Add '-4y' to each side of the equation.
X2 + 4y + -4y + y2 = -12 + 6x + -4y

Combine like terms: 4y + -4y = 0
X2 + 0 + y2 = -12 + 6x + -4y
X2 + y2 = -12 + 6x + -4y

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = -12 + 6x + -4y + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = -12 + 6x + -4y + -1y2
X2 = -12 + 6x + -4y + -1y2

Simplifying
X2 = -12 + 6x + -4y + -1y2

Reorder the terms:
12 + X2 + -6x + 4y + y2 = -12 + 6x + -4y + -1y2 + 12 + -6x + 4y + y2

Reorder the terms:
12 + X2 + -6x + 4y + y2 = -12 + 12 + 6x + -6x + -4y + 4y + -1y2 + y2

Combine like terms: -12 + 12 = 0
12 + X2 + -6x + 4y + y2 = 0 + 6x + -6x + -4y + 4y + -1y2 + y2
12 + X2 + -6x + 4y + y2 = 6x + -6x + -4y + 4y + -1y2 + y2

Combine like terms: 6x + -6x = 0
12 + X2 + -6x + 4y + y2 = 0 + -4y + 4y + -1y2 + y2
12 + X2 + -6x + 4y + y2 = -4y + 4y + -1y2 + y2

Combine like terms: -4y + 4y = 0
12 + X2 + -6x + 4y + y2 = 0 + -1y2 + y2
12 + X2 + -6x + 4y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
12 + X2 + -6x + 4y + y2 = 0

The solution to this equation could not be determined.

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