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

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


Simplifying
(3x2y2 + -1x) * dy + (2xy3 + -1y) * dx = 0

Reorder the terms:
(-1x + 3x2y2) * dy + (2xy3 + -1y) * dx = 0

Reorder the terms for easier multiplication:
dy(-1x + 3x2y2) + (2xy3 + -1y) * dx = 0
(-1x * dy + 3x2y2 * dy) + (2xy3 + -1y) * dx = 0
(-1dxy + 3dx2y3) + (2xy3 + -1y) * dx = 0

Reorder the terms for easier multiplication:
-1dxy + 3dx2y3 + dx(2xy3 + -1y) = 0
-1dxy + 3dx2y3 + (2xy3 * dx + -1y * dx) = 0

Reorder the terms:
-1dxy + 3dx2y3 + (-1dxy + 2dx2y3) = 0
-1dxy + 3dx2y3 + (-1dxy + 2dx2y3) = 0

Reorder the terms:
-1dxy + -1dxy + 3dx2y3 + 2dx2y3 = 0

Combine like terms: -1dxy + -1dxy = -2dxy
-2dxy + 3dx2y3 + 2dx2y3 = 0

Combine like terms: 3dx2y3 + 2dx2y3 = 5dx2y3
-2dxy + 5dx2y3 = 0

Solving
-2dxy + 5dx2y3 = 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(-2 + 5xy2) = 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 '(-2 + 5xy2)' equal to zero and attempt to solve:

Simplifying
-2 + 5xy2 = 0

Solving
-2 + 5xy2 = 0

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

Add '2' to each side of the equation.
-2 + 2 + 5xy2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 5xy2 = 0 + 2
5xy2 = 0 + 2

Combine like terms: 0 + 2 = 2
5xy2 = 2

Add '-5xy2' to each side of the equation.
5xy2 + -5xy2 = 2 + -5xy2

Combine like terms: 5xy2 + -5xy2 = 0
0 = 2 + -5xy2

Simplifying
0 = 2 + -5xy2

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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