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

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


Simplifying
X2 + y2 + -6x + -4y + 2 = 12

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

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

Solving for variable 'X'.

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

Add '-2' to each side of the equation.
2 + X2 + -6x + -4y + -2 + y2 = 12 + -2

Reorder the terms:
2 + -2 + X2 + -6x + -4y + y2 = 12 + -2

Combine like terms: 2 + -2 = 0
0 + X2 + -6x + -4y + y2 = 12 + -2
X2 + -6x + -4y + y2 = 12 + -2

Combine like terms: 12 + -2 = 10
X2 + -6x + -4y + y2 = 10

Add '6x' to each side of the equation.
X2 + -6x + -4y + 6x + y2 = 10 + 6x

Reorder the terms:
X2 + -6x + 6x + -4y + y2 = 10 + 6x

Combine like terms: -6x + 6x = 0
X2 + 0 + -4y + y2 = 10 + 6x
X2 + -4y + y2 = 10 + 6x

Add '4y' to each side of the equation.
X2 + -4y + 4y + y2 = 10 + 6x + 4y

Combine like terms: -4y + 4y = 0
X2 + 0 + y2 = 10 + 6x + 4y
X2 + y2 = 10 + 6x + 4y

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = 10 + 6x + 4y + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = 10 + 6x + 4y + -1y2
X2 = 10 + 6x + 4y + -1y2

Simplifying
X2 = 10 + 6x + 4y + -1y2

Reorder the terms:
-10 + X2 + -6x + -4y + y2 = 10 + 6x + 4y + -1y2 + -10 + -6x + -4y + y2

Reorder the terms:
-10 + X2 + -6x + -4y + y2 = 10 + -10 + 6x + -6x + 4y + -4y + -1y2 + y2

Combine like terms: 10 + -10 = 0
-10 + X2 + -6x + -4y + y2 = 0 + 6x + -6x + 4y + -4y + -1y2 + y2
-10 + X2 + -6x + -4y + y2 = 6x + -6x + 4y + -4y + -1y2 + y2

Combine like terms: 6x + -6x = 0
-10 + X2 + -6x + -4y + y2 = 0 + 4y + -4y + -1y2 + y2
-10 + X2 + -6x + -4y + y2 = 4y + -4y + -1y2 + y2

Combine like terms: 4y + -4y = 0
-10 + X2 + -6x + -4y + y2 = 0 + -1y2 + y2
-10 + X2 + -6x + -4y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-10 + X2 + -6x + -4y + y2 = 0

The solution to this equation could not be determined.

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