3y^2dx+(2y^2-3xy+5x^2)dy=0

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Solution for 3y^2dx+(2y^2-3xy+5x^2)dy=0 equation: 


Simplifying
3y2dx + (2y2 + -3xy + 5x2) * dy = 0

Reorder the terms:
3dxy2 + (-3xy + 5x2 + 2y2) * dy = 0

Reorder the terms for easier multiplication:
3dxy2 + dy(-3xy + 5x2 + 2y2) = 0
3dxy2 + (-3xy * dy + 5x2 * dy + 2y2 * dy) = 0
3dxy2 + (-3dxy2 + 5dx2y + 2dy3) = 0

Combine like terms: 3dxy2 + -3dxy2 = 0
0 + 5dx2y + 2dy3 = 0
5dx2y + 2dy3 = 0

Solving
5dx2y + 2dy3 = 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), 'dy'.
dy(5x2 + 2y2) = 0


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

Simplifying
dy = 0

Solving
dy = 0

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

Simplifying
dy = 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 '(5x2 + 2y2)' equal to zero and attempt to solve:

Simplifying
5x2 + 2y2 = 0

Solving
5x2 + 2y2 = 0

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

Add '-5x2' to each side of the equation.
5x2 + -5x2 + 2y2 = 0 + -5x2

Combine like terms: 5x2 + -5x2 = 0
0 + 2y2 = 0 + -5x2
2y2 = 0 + -5x2
Remove the zero:
2y2 = -5x2

Add '-2y2' to each side of the equation.
2y2 + -2y2 = -5x2 + -2y2

Combine like terms: 2y2 + -2y2 = 0
0 = -5x2 + -2y2

Simplifying
0 = -5x2 + -2y2

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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