3(y+1)dx=2xdy

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Solution for 3(y+1)dx=2xdy equation: 


Simplifying
3(y + 1) * dx = 2xdy

Reorder the terms:
3(1 + y) * dx = 2xdy

Reorder the terms for easier multiplication:
3dx(1 + y) = 2xdy
(1 * 3dx + y * 3dx) = 2xdy
(3dx + 3dxy) = 2xdy

Solving
3dx + 3dxy = 2dxy

Solving for variable 'd'.

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

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

Combine like terms: 3dxy + -2dxy = 1dxy
3dx + 1dxy = 2dxy + -2dxy

Combine like terms: 2dxy + -2dxy = 0
3dx + 1dxy = 0

Factor out the Greatest Common Factor (GCF), 'dx'.
dx(3 + y) = 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 '(3 + y)' equal to zero and attempt to solve:

Simplifying
3 + y = 0

Solving
3 + y = 0

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

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

Combine like terms: 3 + -3 = 0
0 + y = 0 + -3
y = 0 + -3

Combine like terms: 0 + -3 = -3
y = -3

Add '-1y' to each side of the equation.
y + -1y = -3 + -1y

Combine like terms: y + -1y = 0
0 = -3 + -1y

Simplifying
0 = -3 + -1y

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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