(y^2+x^2+8)y+2xy=0

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Solution for (y^2+x^2+8)y+2xy=0 equation: 


Simplifying
(y2 + x2 + 8) * y + 2xy = 0

Reorder the terms:
(8 + x2 + y2) * y + 2xy = 0

Reorder the terms for easier multiplication:
y(8 + x2 + y2) + 2xy = 0
(8 * y + x2 * y + y2 * y) + 2xy = 0

Reorder the terms:
(x2y + 8y + y3) + 2xy = 0
(x2y + 8y + y3) + 2xy = 0

Reorder the terms:
2xy + x2y + 8y + y3 = 0

Solving
2xy + x2y + 8y + y3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(2x + x2 + 8 + y2) = 0


Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

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

Add '-1y' to each side of the equation.
y + -1y = 0 + -1y
Remove the zero:
0 = -1y

Simplifying
0 = -1y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(2x + x2 + 8 + y2)' equal to zero and attempt to solve:

Simplifying
2x + x2 + 8 + y2 = 0

Reorder the terms:
8 + 2x + x2 + y2 = 0

Solving
8 + 2x + x2 + y2 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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