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

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


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

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

Reorder the terms:
(3dxy2 + 4dx2) + 2xy * dy = 0
(3dxy2 + 4dx2) + 2xy * dy = 0

Multiply xy * dy
3dxy2 + 4dx2 + 2dxy2 = 0

Reorder the terms:
3dxy2 + 2dxy2 + 4dx2 = 0

Combine like terms: 3dxy2 + 2dxy2 = 5dxy2
5dxy2 + 4dx2 = 0

Solving
5dxy2 + 4dx2 = 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(5y2 + 4x) = 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 '(5y2 + 4x)' equal to zero and attempt to solve:

Simplifying
5y2 + 4x = 0

Reorder the terms:
4x + 5y2 = 0

Solving
4x + 5y2 = 0

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

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

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

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

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

Simplifying
0 = -4x + -5y2

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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