(5x-3x^2)dx+xdy=0

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


Simplifying
(5x + -3x2) * dx + xdy = 0

Reorder the terms for easier multiplication:
dx(5x + -3x2) + xdy = 0
(5x * dx + -3x2 * dx) + xdy = 0
(5dx2 + -3dx3) + xdy = 0

Reorder the terms:
dxy + 5dx2 + -3dx3 = 0

Solving
dxy + 5dx2 + -3dx3 = 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(y + 5x + -3x2) = 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 '(y + 5x + -3x2)' equal to zero and attempt to solve:

Simplifying
y + 5x + -3x2 = 0

Reorder the terms:
5x + -3x2 + y = 0

Solving
5x + -3x2 + y = 0

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

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

Reorder the terms:
5x + -5x + -3x2 + y = 0 + -5x

Combine like terms: 5x + -5x = 0
0 + -3x2 + y = 0 + -5x
-3x2 + y = 0 + -5x
Remove the zero:
-3x2 + y = -5x

Add '3x2' to each side of the equation.
-3x2 + 3x2 + y = -5x + 3x2

Combine like terms: -3x2 + 3x2 = 0
0 + y = -5x + 3x2
y = -5x + 3x2

Add '-1y' to each side of the equation.
y + -1y = -5x + 3x2 + -1y

Combine like terms: y + -1y = 0
0 = -5x + 3x2 + -1y

Simplifying
0 = -5x + 3x2 + -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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