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

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


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

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

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

Solving for variable 'X'.

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

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

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

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

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

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

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = 2 + -4x + 6y + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = 2 + -4x + 6y + -1y2
X2 = 2 + -4x + 6y + -1y2

Simplifying
X2 = 2 + -4x + 6y + -1y2

Reorder the terms:
-2 + X2 + 4x + -6y + y2 = 2 + -4x + 6y + -1y2 + -2 + 4x + -6y + y2

Reorder the terms:
-2 + X2 + 4x + -6y + y2 = 2 + -2 + -4x + 4x + 6y + -6y + -1y2 + y2

Combine like terms: 2 + -2 = 0
-2 + X2 + 4x + -6y + y2 = 0 + -4x + 4x + 6y + -6y + -1y2 + y2
-2 + X2 + 4x + -6y + y2 = -4x + 4x + 6y + -6y + -1y2 + y2

Combine like terms: -4x + 4x = 0
-2 + X2 + 4x + -6y + y2 = 0 + 6y + -6y + -1y2 + y2
-2 + X2 + 4x + -6y + y2 = 6y + -6y + -1y2 + y2

Combine like terms: 6y + -6y = 0
-2 + X2 + 4x + -6y + y2 = 0 + -1y2 + y2
-2 + X2 + 4x + -6y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-2 + X2 + 4x + -6y + y2 = 0

The solution to this equation could not be determined.

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