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

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


Simplifying
(5x + -1(3x2) * y2) * dx + (3y + -1(2x3) * y) * dy = 0

Remove parenthesis around (3x2)
(5x + -1 * 3x2 * y2) * dx + (3y + -1(2x3) * y) * dy = 0

Multiply -1 * 3
(5x + -3x2 * y2) * dx + (3y + -1(2x3) * y) * dy = 0

Multiply x2 * y2
(5x + -3x2y2) * dx + (3y + -1(2x3) * y) * dy = 0

Reorder the terms for easier multiplication:
dx(5x + -3x2y2) + (3y + -1(2x3) * y) * dy = 0
(5x * dx + -3x2y2 * dx) + (3y + -1(2x3) * y) * dy = 0
(5dx2 + -3dx3y2) + (3y + -1(2x3) * y) * dy = 0

Remove parenthesis around (2x3)
5dx2 + -3dx3y2 + (3y + -1 * 2x3 * y) * dy = 0

Multiply -1 * 2
5dx2 + -3dx3y2 + (3y + -2x3 * y) * dy = 0

Multiply x3 * y
5dx2 + -3dx3y2 + (3y + -2x3y) * dy = 0

Reorder the terms:
5dx2 + -3dx3y2 + (-2x3y + 3y) * dy = 0

Reorder the terms for easier multiplication:
5dx2 + -3dx3y2 + dy(-2x3y + 3y) = 0
5dx2 + -3dx3y2 + (-2x3y * dy + 3y * dy) = 0
5dx2 + -3dx3y2 + (-2dx3y2 + 3dy2) = 0

Combine like terms: -3dx3y2 + -2dx3y2 = -5dx3y2
5dx2 + -5dx3y2 + 3dy2 = 0

Solving
5dx2 + -5dx3y2 + 3dy2 = 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), 'd'.
d(5x2 + -5x3y2 + 3y2) = 0


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

Simplifying
d = 0

Solving
d = 0

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

Simplifying
d = 0

Subproblem 2
Set the factor '(5x2 + -5x3y2 + 3y2)' equal to zero and attempt to solve:

Simplifying
5x2 + -5x3y2 + 3y2 = 0

Solving
5x2 + -5x3y2 + 3y2 = 0

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

Add '-5x2' to each side of the equation.
5x2 + -5x3y2 + -5x2 + 3y2 = 0 + -5x2

Reorder the terms:
5x2 + -5x2 + -5x3y2 + 3y2 = 0 + -5x2

Combine like terms: 5x2 + -5x2 = 0
0 + -5x3y2 + 3y2 = 0 + -5x2
-5x3y2 + 3y2 = 0 + -5x2
Remove the zero:
-5x3y2 + 3y2 = -5x2

Add '5x3y2' to each side of the equation.
-5x3y2 + 5x3y2 + 3y2 = -5x2 + 5x3y2

Combine like terms: -5x3y2 + 5x3y2 = 0
0 + 3y2 = -5x2 + 5x3y2
3y2 = -5x2 + 5x3y2

Add '-3y2' to each side of the equation.
3y2 + -3y2 = -5x2 + 5x3y2 + -3y2

Combine like terms: 3y2 + -3y2 = 0
0 = -5x2 + 5x3y2 + -3y2

Simplifying
0 = -5x2 + 5x3y2 + -3y2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
d = {0}

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