X^2+6x+y^2-y=23

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Solution for X^2+6x+y^2-y=23 equation: 


Simplifying
X2 + 6x + y2 + -1y = 23

Reorder the terms:
X2 + 6x + -1y + y2 = 23

Solving
X2 + 6x + -1y + y2 = 23

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 + -1y + -6x + y2 = 23 + -6x

Reorder the terms:
X2 + 6x + -6x + -1y + y2 = 23 + -6x

Combine like terms: 6x + -6x = 0
X2 + 0 + -1y + y2 = 23 + -6x
X2 + -1y + y2 = 23 + -6x

Add 'y' to each side of the equation.
X2 + -1y + y + y2 = 23 + -6x + y

Combine like terms: -1y + y = 0
X2 + 0 + y2 = 23 + -6x + y
X2 + y2 = 23 + -6x + y

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = 23 + -6x + y + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = 23 + -6x + y + -1y2
X2 = 23 + -6x + y + -1y2

Simplifying
X2 = 23 + -6x + y + -1y2

Reorder the terms:
-23 + X2 + 6x + -1y + y2 = 23 + -6x + y + -1y2 + -23 + 6x + -1y + y2

Reorder the terms:
-23 + X2 + 6x + -1y + y2 = 23 + -23 + -6x + 6x + y + -1y + -1y2 + y2

Combine like terms: 23 + -23 = 0
-23 + X2 + 6x + -1y + y2 = 0 + -6x + 6x + y + -1y + -1y2 + y2
-23 + X2 + 6x + -1y + y2 = -6x + 6x + y + -1y + -1y2 + y2

Combine like terms: -6x + 6x = 0
-23 + X2 + 6x + -1y + y2 = 0 + y + -1y + -1y2 + y2
-23 + X2 + 6x + -1y + y2 = y + -1y + -1y2 + y2

Combine like terms: y + -1y = 0
-23 + X2 + 6x + -1y + y2 = 0 + -1y2 + y2
-23 + X2 + 6x + -1y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-23 + X2 + 6x + -1y + y2 = 0

The solution to this equation could not be determined.

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