3x^2y^2*dx+(2x^3y+4y^3)*dy=0

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Solution for 3x^2y^2*dx+(2x^3y+4y^3)*dy=0 equation: 


Simplifying
3x2y2 * dx + (2x3y + 4y3) * dy = 0

Multiply x2y2 * dx
3dx3y2 + (2x3y + 4y3) * dy = 0

Reorder the terms for easier multiplication:
3dx3y2 + dy(2x3y + 4y3) = 0
3dx3y2 + (2x3y * dy + 4y3 * dy) = 0
3dx3y2 + (2dx3y2 + 4dy4) = 0

Combine like terms: 3dx3y2 + 2dx3y2 = 5dx3y2
5dx3y2 + 4dy4 = 0

Solving
5dx3y2 + 4dy4 = 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), 'dy2'.
dy2(5x3 + 4y2) = 0


Subproblem 1
Set the factor 'dy2' equal to zero and attempt to solve:

Simplifying
dy2 = 0

Solving
dy2 = 0

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

Simplifying
dy2 = 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 '(5x3 + 4y2)' equal to zero and attempt to solve:

Simplifying
5x3 + 4y2 = 0

Solving
5x3 + 4y2 = 0

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

Add '-5x3' to each side of the equation.
5x3 + -5x3 + 4y2 = 0 + -5x3

Combine like terms: 5x3 + -5x3 = 0
0 + 4y2 = 0 + -5x3
4y2 = 0 + -5x3
Remove the zero:
4y2 = -5x3

Add '-4y2' to each side of the equation.
4y2 + -4y2 = -5x3 + -4y2

Combine like terms: 4y2 + -4y2 = 0
0 = -5x3 + -4y2

Simplifying
0 = -5x3 + -4y2

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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