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

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


Simplifying
(2y2 + 3x) * dx + 2xy * dy = 0

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

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

Reorder the terms:
(2dxy2 + 3dx2) + 2xy * dy = 0
(2dxy2 + 3dx2) + 2xy * dy = 0

Multiply xy * dy
2dxy2 + 3dx2 + 2dxy2 = 0

Reorder the terms:
2dxy2 + 2dxy2 + 3dx2 = 0

Combine like terms: 2dxy2 + 2dxy2 = 4dxy2
4dxy2 + 3dx2 = 0

Solving
4dxy2 + 3dx2 = 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), 'dx'.
dx(4y2 + 3x) = 0


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

Simplifying
dx = 0

Solving
dx = 0

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

Simplifying
dx = 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 '(4y2 + 3x)' equal to zero and attempt to solve:

Simplifying
4y2 + 3x = 0

Reorder the terms:
3x + 4y2 = 0

Solving
3x + 4y2 = 0

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

Add '-3x' to each side of the equation.
3x + -3x + 4y2 = 0 + -3x

Combine like terms: 3x + -3x = 0
0 + 4y2 = 0 + -3x
4y2 = 0 + -3x
Remove the zero:
4y2 = -3x

Add '-4y2' to each side of the equation.
4y2 + -4y2 = -3x + -4y2

Combine like terms: 4y2 + -4y2 = 0
0 = -3x + -4y2

Simplifying
0 = -3x + -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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