y^2-4y+8x+4=0

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Solution for y^2-4y+8x+4=0 equation:


Simplifying
y2 + -4y + 8x + 4 = 0

Reorder the terms:
4 + 8x + -4y + y2 = 0

Solving
4 + 8x + -4y + y2 = 0

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + 8x + -4y + -4 + y2 = 0 + -4

Reorder the terms:
4 + -4 + 8x + -4y + y2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 8x + -4y + y2 = 0 + -4
8x + -4y + y2 = 0 + -4

Combine like terms: 0 + -4 = -4
8x + -4y + y2 = -4

Add '4y' to each side of the equation.
8x + -4y + 4y + y2 = -4 + 4y

Combine like terms: -4y + 4y = 0
8x + 0 + y2 = -4 + 4y
8x + y2 = -4 + 4y

Add '-1y2' to each side of the equation.
8x + y2 + -1y2 = -4 + 4y + -1y2

Combine like terms: y2 + -1y2 = 0
8x + 0 = -4 + 4y + -1y2
8x = -4 + 4y + -1y2

Divide each side by '8'.
x = -0.5 + 0.5y + -0.125y2

Simplifying
x = -0.5 + 0.5y + -0.125y2

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