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

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


Simplifying
(2y2 + 4x2y) * dx + (4xy + 3x3) * dy = 0

Reorder the terms:
(4x2y + 2y2) * dx + (4xy + 3x3) * dy = 0

Reorder the terms for easier multiplication:
dx(4x2y + 2y2) + (4xy + 3x3) * dy = 0
(4x2y * dx + 2y2 * dx) + (4xy + 3x3) * dy = 0

Reorder the terms:
(2dxy2 + 4dx3y) + (4xy + 3x3) * dy = 0
(2dxy2 + 4dx3y) + (4xy + 3x3) * dy = 0

Reorder the terms for easier multiplication:
2dxy2 + 4dx3y + dy(4xy + 3x3) = 0
2dxy2 + 4dx3y + (4xy * dy + 3x3 * dy) = 0
2dxy2 + 4dx3y + (4dxy2 + 3dx3y) = 0

Reorder the terms:
2dxy2 + 4dxy2 + 4dx3y + 3dx3y = 0

Combine like terms: 2dxy2 + 4dxy2 = 6dxy2
6dxy2 + 4dx3y + 3dx3y = 0

Combine like terms: 4dx3y + 3dx3y = 7dx3y
6dxy2 + 7dx3y = 0

Solving
6dxy2 + 7dx3y = 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(6y + 7x2) = 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 '(6y + 7x2)' equal to zero and attempt to solve:

Simplifying
6y + 7x2 = 0

Reorder the terms:
7x2 + 6y = 0

Solving
7x2 + 6y = 0

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

Add '-7x2' to each side of the equation.
7x2 + -7x2 + 6y = 0 + -7x2

Combine like terms: 7x2 + -7x2 = 0
0 + 6y = 0 + -7x2
6y = 0 + -7x2
Remove the zero:
6y = -7x2

Add '-6y' to each side of the equation.
6y + -6y = -7x2 + -6y

Combine like terms: 6y + -6y = 0
0 = -7x2 + -6y

Simplifying
0 = -7x2 + -6y

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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