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

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


Simplifying
y2 + 2y + 4x + -8 = 0

Reorder the terms:
-8 + 4x + 2y + y2 = 0

Solving
-8 + 4x + 2y + y2 = 0

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 4x + 2y + 8 + y2 = 0 + 8

Reorder the terms:
-8 + 8 + 4x + 2y + y2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 4x + 2y + y2 = 0 + 8
4x + 2y + y2 = 0 + 8

Combine like terms: 0 + 8 = 8
4x + 2y + y2 = 8

Add '-2y' to each side of the equation.
4x + 2y + -2y + y2 = 8 + -2y

Combine like terms: 2y + -2y = 0
4x + 0 + y2 = 8 + -2y
4x + y2 = 8 + -2y

Add '-1y2' to each side of the equation.
4x + y2 + -1y2 = 8 + -2y + -1y2

Combine like terms: y2 + -1y2 = 0
4x + 0 = 8 + -2y + -1y2
4x = 8 + -2y + -1y2

Divide each side by '4'.
x = 2 + -0.5y + -0.25y2

Simplifying
x = 2 + -0.5y + -0.25y2

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