Y^2+x^2-4x+4y-1=0

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Solution for Y^2+x^2-4x+4y-1=0 equation: 


Simplifying
Y2 + x2 + -4x + 4y + -1 = 0

Reorder the terms:
-1 + Y2 + -4x + x2 + 4y = 0

Solving
-1 + Y2 + -4x + x2 + 4y = 0

Solving for variable 'Y'.

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

Add '1' to each side of the equation.
-1 + Y2 + -4x + x2 + 1 + 4y = 0 + 1

Reorder the terms:
-1 + 1 + Y2 + -4x + x2 + 4y = 0 + 1

Combine like terms: -1 + 1 = 0
0 + Y2 + -4x + x2 + 4y = 0 + 1
Y2 + -4x + x2 + 4y = 0 + 1

Combine like terms: 0 + 1 = 1
Y2 + -4x + x2 + 4y = 1

Add '4x' to each side of the equation.
Y2 + -4x + x2 + 4x + 4y = 1 + 4x

Reorder the terms:
Y2 + -4x + 4x + x2 + 4y = 1 + 4x

Combine like terms: -4x + 4x = 0
Y2 + 0 + x2 + 4y = 1 + 4x
Y2 + x2 + 4y = 1 + 4x

Add '-1x2' to each side of the equation.
Y2 + x2 + -1x2 + 4y = 1 + 4x + -1x2

Combine like terms: x2 + -1x2 = 0
Y2 + 0 + 4y = 1 + 4x + -1x2
Y2 + 4y = 1 + 4x + -1x2

Add '-4y' to each side of the equation.
Y2 + 4y + -4y = 1 + 4x + -1x2 + -4y

Combine like terms: 4y + -4y = 0
Y2 + 0 = 1 + 4x + -1x2 + -4y
Y2 = 1 + 4x + -1x2 + -4y

Simplifying
Y2 = 1 + 4x + -1x2 + -4y

Reorder the terms:
-1 + Y2 + -4x + x2 + 4y = 1 + 4x + -1x2 + -4y + -1 + -4x + x2 + 4y

Reorder the terms:
-1 + Y2 + -4x + x2 + 4y = 1 + -1 + 4x + -4x + -1x2 + x2 + -4y + 4y

Combine like terms: 1 + -1 = 0
-1 + Y2 + -4x + x2 + 4y = 0 + 4x + -4x + -1x2 + x2 + -4y + 4y
-1 + Y2 + -4x + x2 + 4y = 4x + -4x + -1x2 + x2 + -4y + 4y

Combine like terms: 4x + -4x = 0
-1 + Y2 + -4x + x2 + 4y = 0 + -1x2 + x2 + -4y + 4y
-1 + Y2 + -4x + x2 + 4y = -1x2 + x2 + -4y + 4y

Combine like terms: -1x2 + x2 = 0
-1 + Y2 + -4x + x2 + 4y = 0 + -4y + 4y
-1 + Y2 + -4x + x2 + 4y = -4y + 4y

Combine like terms: -4y + 4y = 0
-1 + Y2 + -4x + x2 + 4y = 0

The solution to this equation could not be determined.

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