(2x^2y)dx=(3x^3y^3)dy

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Solution for (2x^2y)dx=(3x^3y^3)dy equation: 


Simplifying
(2x2y) * dx = (3x3y3) * dy

Remove parenthesis around (2x2y)
2x2y * dx = (3x3y3) * dy

Multiply x2y * dx
2dx3y = (3x3y3) * dy

Remove parenthesis around (3x3y3)
2dx3y = 3x3y3 * dy

Multiply x3y3 * dy
2dx3y = 3dx3y4

Solving
2dx3y = 3dx3y4

Solving for variable 'd'.

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

Add '-3dx3y4' to each side of the equation.
2dx3y + -3dx3y4 = 3dx3y4 + -3dx3y4

Combine like terms: 3dx3y4 + -3dx3y4 = 0
2dx3y + -3dx3y4 = 0

Factor out the Greatest Common Factor (GCF), 'dx3y'.
dx3y(2 + -3y3) = 0


Subproblem 1
Set the factor 'dx3y' equal to zero and attempt to solve:

Simplifying
dx3y = 0

Solving
dx3y = 0

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

Simplifying
dx3y = 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 '(2 + -3y3)' equal to zero and attempt to solve:

Simplifying
2 + -3y3 = 0

Solving
2 + -3y3 = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3y3 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3y3 = 0 + -2
-3y3 = 0 + -2

Combine like terms: 0 + -2 = -2
-3y3 = -2

Add '3y3' to each side of the equation.
-3y3 + 3y3 = -2 + 3y3

Combine like terms: -3y3 + 3y3 = 0
0 = -2 + 3y3

Simplifying
0 = -2 + 3y3

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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