(x^2y^2+xy)ydx-(x^2y^2-1)xdy=0

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Solution for (x^2y^2+xy)ydx-(x^2y^2-1)xdy=0 equation: 


Simplifying
(x2y2 + xy) * ydx + -1(x2y2 + -1) * xdy = 0

Reorder the terms:
(xy + x2y2) * ydx + -1(x2y2 + -1) * xdy = 0

Reorder the terms for easier multiplication:
dxy(xy + x2y2) + -1(x2y2 + -1) * xdy = 0
(xy * dxy + x2y2 * dxy) + -1(x2y2 + -1) * xdy = 0
(dx2y2 + dx3y3) + -1(x2y2 + -1) * xdy = 0

Reorder the terms:
dx2y2 + dx3y3 + -1(-1 + x2y2) * xdy = 0

Reorder the terms for easier multiplication:
dx2y2 + dx3y3 + -1dxy(-1 + x2y2) = 0
dx2y2 + dx3y3 + (-1 * -1dxy + x2y2 * -1dxy) = 0
dx2y2 + dx3y3 + (1dxy + -1dx3y3) = 0

Reorder the terms:
1dxy + dx2y2 + dx3y3 + -1dx3y3 = 0

Combine like terms: dx3y3 + -1dx3y3 = 0
1dxy + dx2y2 + 0 = 0
1dxy + dx2y2 = 0

Solving
1dxy + dx2y2 = 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), 'dxy'.
dxy(1 + xy) = 0


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

Simplifying
dxy = 0

Solving
dxy = 0

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

Simplifying
dxy = 0

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 '(1 + xy)' equal to zero and attempt to solve:

Simplifying
1 + xy = 0

Solving
1 + xy = 0

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

Add '-1' to each side of the equation.
1 + -1 + xy = 0 + -1

Combine like terms: 1 + -1 = 0
0 + xy = 0 + -1
xy = 0 + -1

Combine like terms: 0 + -1 = -1
xy = -1

Add '-1xy' to each side of the equation.
xy + -1xy = -1 + -1xy

Combine like terms: xy + -1xy = 0
0 = -1 + -1xy

Simplifying
0 = -1 + -1xy

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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