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

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


Simplifying
y2 + -4x + 4y + -1 = 0

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

Solving
-1 + -4x + 4y + y2 = 0

Solving for variable 'x'.

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

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

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

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

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

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

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

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

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

Divide each side by '-4'.
x = -0.25 + y + 0.25y2

Simplifying
x = -0.25 + y + 0.25y2

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