5x^3dy-x^2(-2y+x^2y^4)dx=0

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Solution for 5x^3dy-x^2(-2y+x^2y^4)dx=0 equation: 


Simplifying
5x3dy + -1x2(-2y + x2y4) * dx = 0

Reorder the terms:
5dx3y + -1x2(x2y4 + -2y) * dx = 0

Reorder the terms for easier multiplication:
5dx3y + -1x2 * dx(x2y4 + -2y) = 0

Multiply x2 * dx
5dx3y + -1dx3(x2y4 + -2y) = 0
5dx3y + (x2y4 * -1dx3 + -2y * -1dx3) = 0

Reorder the terms:
5dx3y + (2dx3y + -1dx5y4) = 0
5dx3y + (2dx3y + -1dx5y4) = 0

Combine like terms: 5dx3y + 2dx3y = 7dx3y
7dx3y + -1dx5y4 = 0

Solving
7dx3y + -1dx5y4 = 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), 'dx3y'.
dx3y(7 + -1x2y3) = 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 '(7 + -1x2y3)' equal to zero and attempt to solve:

Simplifying
7 + -1x2y3 = 0

Solving
7 + -1x2y3 = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x2y3 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x2y3 = 0 + -7
-1x2y3 = 0 + -7

Combine like terms: 0 + -7 = -7
-1x2y3 = -7

Add 'x2y3' to each side of the equation.
-1x2y3 + x2y3 = -7 + x2y3

Combine like terms: -1x2y3 + x2y3 = 0
0 = -7 + x2y3

Simplifying
0 = -7 + x2y3

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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