X^2-y^2-4x+2y-23=0

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Solution for X^2-y^2-4x+2y-23=0 equation: 


Simplifying
X2 + -1y2 + -4x + 2y + -23 = 0

Reorder the terms:
-23 + X2 + -4x + 2y + -1y2 = 0

Solving
-23 + X2 + -4x + 2y + -1y2 = 0

Solving for variable 'X'.

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

Add '23' to each side of the equation.
-23 + X2 + -4x + 2y + 23 + -1y2 = 0 + 23

Reorder the terms:
-23 + 23 + X2 + -4x + 2y + -1y2 = 0 + 23

Combine like terms: -23 + 23 = 0
0 + X2 + -4x + 2y + -1y2 = 0 + 23
X2 + -4x + 2y + -1y2 = 0 + 23

Combine like terms: 0 + 23 = 23
X2 + -4x + 2y + -1y2 = 23

Add '4x' to each side of the equation.
X2 + -4x + 2y + 4x + -1y2 = 23 + 4x

Reorder the terms:
X2 + -4x + 4x + 2y + -1y2 = 23 + 4x

Combine like terms: -4x + 4x = 0
X2 + 0 + 2y + -1y2 = 23 + 4x
X2 + 2y + -1y2 = 23 + 4x

Add '-2y' to each side of the equation.
X2 + 2y + -2y + -1y2 = 23 + 4x + -2y

Combine like terms: 2y + -2y = 0
X2 + 0 + -1y2 = 23 + 4x + -2y
X2 + -1y2 = 23 + 4x + -2y

Add 'y2' to each side of the equation.
X2 + -1y2 + y2 = 23 + 4x + -2y + y2

Combine like terms: -1y2 + y2 = 0
X2 + 0 = 23 + 4x + -2y + y2
X2 = 23 + 4x + -2y + y2

Simplifying
X2 = 23 + 4x + -2y + y2

Reorder the terms:
-23 + X2 + -4x + 2y + -1y2 = 23 + 4x + -2y + y2 + -23 + -4x + 2y + -1y2

Reorder the terms:
-23 + X2 + -4x + 2y + -1y2 = 23 + -23 + 4x + -4x + -2y + 2y + y2 + -1y2

Combine like terms: 23 + -23 = 0
-23 + X2 + -4x + 2y + -1y2 = 0 + 4x + -4x + -2y + 2y + y2 + -1y2
-23 + X2 + -4x + 2y + -1y2 = 4x + -4x + -2y + 2y + y2 + -1y2

Combine like terms: 4x + -4x = 0
-23 + X2 + -4x + 2y + -1y2 = 0 + -2y + 2y + y2 + -1y2
-23 + X2 + -4x + 2y + -1y2 = -2y + 2y + y2 + -1y2

Combine like terms: -2y + 2y = 0
-23 + X2 + -4x + 2y + -1y2 = 0 + y2 + -1y2
-23 + X2 + -4x + 2y + -1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
-23 + X2 + -4x + 2y + -1y2 = 0

The solution to this equation could not be determined.

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