(x^2y^2+3xy)dx+(x^2+2x^3y)dy=0

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Solution for (x^2y^2+3xy)dx+(x^2+2x^3y)dy=0 equation: 


Simplifying
(x2y2 + 3xy) * dx + (x2 + 2x3y) * dy = 0

Reorder the terms:
(3xy + x2y2) * dx + (x2 + 2x3y) * dy = 0

Reorder the terms for easier multiplication:
dx(3xy + x2y2) + (x2 + 2x3y) * dy = 0
(3xy * dx + x2y2 * dx) + (x2 + 2x3y) * dy = 0
(3dx2y + dx3y2) + (x2 + 2x3y) * dy = 0

Reorder the terms for easier multiplication:
3dx2y + dx3y2 + dy(x2 + 2x3y) = 0
3dx2y + dx3y2 + (x2 * dy + 2x3y * dy) = 0
3dx2y + dx3y2 + (dx2y + 2dx3y2) = 0

Reorder the terms:
3dx2y + dx2y + dx3y2 + 2dx3y2 = 0

Combine like terms: 3dx2y + dx2y = 4dx2y
4dx2y + dx3y2 + 2dx3y2 = 0

Combine like terms: dx3y2 + 2dx3y2 = 3dx3y2
4dx2y + 3dx3y2 = 0

Solving
4dx2y + 3dx3y2 = 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), 'dx2y'.
dx2y(4 + 3xy) = 0


Subproblem 1
Set the factor 'dx2y' equal to zero and attempt to solve:

Simplifying
dx2y = 0

Solving
dx2y = 0

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

Simplifying
dx2y = 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 '(4 + 3xy)' equal to zero and attempt to solve:

Simplifying
4 + 3xy = 0

Solving
4 + 3xy = 0

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

Add '-4' to each side of the equation.
4 + -4 + 3xy = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3xy = 0 + -4
3xy = 0 + -4

Combine like terms: 0 + -4 = -4
3xy = -4

Add '-3xy' to each side of the equation.
3xy + -3xy = -4 + -3xy

Combine like terms: 3xy + -3xy = 0
0 = -4 + -3xy

Simplifying
0 = -4 + -3xy

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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