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

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


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

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

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

Solving for variable 'X'.

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

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

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

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

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

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

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = -6 + -6x + 2y + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = -6 + -6x + 2y + -1y2
X2 = -6 + -6x + 2y + -1y2

Simplifying
X2 = -6 + -6x + 2y + -1y2

Reorder the terms:
6 + X2 + 6x + -2y + y2 = -6 + -6x + 2y + -1y2 + 6 + 6x + -2y + y2

Reorder the terms:
6 + X2 + 6x + -2y + y2 = -6 + 6 + -6x + 6x + 2y + -2y + -1y2 + y2

Combine like terms: -6 + 6 = 0
6 + X2 + 6x + -2y + y2 = 0 + -6x + 6x + 2y + -2y + -1y2 + y2
6 + X2 + 6x + -2y + y2 = -6x + 6x + 2y + -2y + -1y2 + y2

Combine like terms: -6x + 6x = 0
6 + X2 + 6x + -2y + y2 = 0 + 2y + -2y + -1y2 + y2
6 + X2 + 6x + -2y + y2 = 2y + -2y + -1y2 + y2

Combine like terms: 2y + -2y = 0
6 + X2 + 6x + -2y + y2 = 0 + -1y2 + y2
6 + X2 + 6x + -2y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
6 + X2 + 6x + -2y + y2 = 0

The solution to this equation could not be determined.

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