y+(x+2)y^2=0

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Solution for y+(x+2)y^2=0 equation:


Simplifying
y + (x + 2) * y2 = 0

Reorder the terms:
y + (2 + x) * y2 = 0

Reorder the terms for easier multiplication:
y + y2(2 + x) = 0
y + (2 * y2 + x * y2) = 0

Reorder the terms:
y + (xy2 + 2y2) = 0
y + (xy2 + 2y2) = 0

Reorder the terms:
xy2 + y + 2y2 = 0

Solving
xy2 + y + 2y2 = 0

Solving for variable 'x'.

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

Add '-1y' to each side of the equation.
xy2 + y + -1y + 2y2 = 0 + -1y

Combine like terms: y + -1y = 0
xy2 + 0 + 2y2 = 0 + -1y
xy2 + 2y2 = 0 + -1y
Remove the zero:
xy2 + 2y2 = -1y

Add '-2y2' to each side of the equation.
xy2 + 2y2 + -2y2 = -1y + -2y2

Combine like terms: 2y2 + -2y2 = 0
xy2 + 0 = -1y + -2y2
xy2 = -1y + -2y2

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

Simplifying
x = -1y-1 + -2

Reorder the terms:
x = -2 + -1y-1

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