(x*2+y*2)dx+(y*2-xy)dy=0

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Solution for (x*2+y*2)dx+(y*2-xy)dy=0 equation: 


Simplifying
(x * 2 + y * 2) * dx + (y * 2 + -1xy) * dy = 0

Reorder the terms for easier multiplication:
(2x + y * 2) * dx + (y * 2 + -1xy) * dy = 0

Reorder the terms for easier multiplication:
(2x + 2y) * dx + (y * 2 + -1xy) * dy = 0

Reorder the terms for easier multiplication:
dx(2x + 2y) + (y * 2 + -1xy) * dy = 0
(2x * dx + 2y * dx) + (y * 2 + -1xy) * dy = 0

Reorder the terms:
(2dxy + 2dx2) + (y * 2 + -1xy) * dy = 0
(2dxy + 2dx2) + (y * 2 + -1xy) * dy = 0

Reorder the terms for easier multiplication:
2dxy + 2dx2 + (2y + -1xy) * dy = 0

Reorder the terms:
2dxy + 2dx2 + (-1xy + 2y) * dy = 0

Reorder the terms for easier multiplication:
2dxy + 2dx2 + dy(-1xy + 2y) = 0
2dxy + 2dx2 + (-1xy * dy + 2y * dy) = 0
2dxy + 2dx2 + (-1dxy2 + 2dy2) = 0

Reorder the terms:
2dxy + -1dxy2 + 2dx2 + 2dy2 = 0

Solving
2dxy + -1dxy2 + 2dx2 + 2dy2 = 0

Solving for variable 'd'.

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

Factor out the Greatest Common Factor (GCF), 'd'.
d(2xy + -1xy2 + 2x2 + 2y2) = 0


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

Simplifying
d = 0

Solving
d = 0

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

Simplifying
d = 0

Subproblem 2
Set the factor '(2xy + -1xy2 + 2x2 + 2y2)' equal to zero and attempt to solve:

Simplifying
2xy + -1xy2 + 2x2 + 2y2 = 0

Solving
2xy + -1xy2 + 2x2 + 2y2 = 0

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

Add '-2xy' to each side of the equation.
2xy + -1xy2 + 2x2 + -2xy + 2y2 = 0 + -2xy

Reorder the terms:
2xy + -2xy + -1xy2 + 2x2 + 2y2 = 0 + -2xy

Combine like terms: 2xy + -2xy = 0
0 + -1xy2 + 2x2 + 2y2 = 0 + -2xy
-1xy2 + 2x2 + 2y2 = 0 + -2xy
Remove the zero:
-1xy2 + 2x2 + 2y2 = -2xy

Add 'xy2' to each side of the equation.
-1xy2 + 2x2 + xy2 + 2y2 = -2xy + xy2

Reorder the terms:
-1xy2 + xy2 + 2x2 + 2y2 = -2xy + xy2

Combine like terms: -1xy2 + xy2 = 0
0 + 2x2 + 2y2 = -2xy + xy2
2x2 + 2y2 = -2xy + xy2

Add '-2x2' to each side of the equation.
2x2 + -2x2 + 2y2 = -2xy + xy2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
0 + 2y2 = -2xy + xy2 + -2x2
2y2 = -2xy + xy2 + -2x2

Add '-2y2' to each side of the equation.
2y2 + -2y2 = -2xy + xy2 + -2x2 + -2y2

Combine like terms: 2y2 + -2y2 = 0
0 = -2xy + xy2 + -2x2 + -2y2

Simplifying
0 = -2xy + xy2 + -2x2 + -2y2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
d = {0}

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