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

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


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

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

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

Solving for variable 'x'.

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

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

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

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

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

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

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

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

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

Divide each side by '2'.
x = 1 + -2y + -0.5y2

Simplifying
x = 1 + -2y + -0.5y2

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