(90xy+4y^4)dx+(72x^2+7x^3)dy=0

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Solution for (90xy+4y^4)dx+(72x^2+7x^3)dy=0 equation: 


Simplifying
(90xy + 4y4) * dx + (72x2 + 7x3) * dy = 0

Reorder the terms for easier multiplication:
dx(90xy + 4y4) + (72x2 + 7x3) * dy = 0
(90xy * dx + 4y4 * dx) + (72x2 + 7x3) * dy = 0

Reorder the terms:
(4dxy4 + 90dx2y) + (72x2 + 7x3) * dy = 0
(4dxy4 + 90dx2y) + (72x2 + 7x3) * dy = 0

Reorder the terms for easier multiplication:
4dxy4 + 90dx2y + dy(72x2 + 7x3) = 0
4dxy4 + 90dx2y + (72x2 * dy + 7x3 * dy) = 0
4dxy4 + 90dx2y + (72dx2y + 7dx3y) = 0

Combine like terms: 90dx2y + 72dx2y = 162dx2y
4dxy4 + 162dx2y + 7dx3y = 0

Solving
4dxy4 + 162dx2y + 7dx3y = 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), 'dxy'.
dxy(4y3 + 162x + 7x2) = 0


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

Simplifying
dxy = 0

Solving
dxy = 0

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

Simplifying
dxy = 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 '(4y3 + 162x + 7x2)' equal to zero and attempt to solve:

Simplifying
4y3 + 162x + 7x2 = 0

Reorder the terms:
162x + 7x2 + 4y3 = 0

Solving
162x + 7x2 + 4y3 = 0

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

Add '-162x' to each side of the equation.
162x + 7x2 + -162x + 4y3 = 0 + -162x

Reorder the terms:
162x + -162x + 7x2 + 4y3 = 0 + -162x

Combine like terms: 162x + -162x = 0
0 + 7x2 + 4y3 = 0 + -162x
7x2 + 4y3 = 0 + -162x
Remove the zero:
7x2 + 4y3 = -162x

Add '-7x2' to each side of the equation.
7x2 + -7x2 + 4y3 = -162x + -7x2

Combine like terms: 7x2 + -7x2 = 0
0 + 4y3 = -162x + -7x2
4y3 = -162x + -7x2

Add '-4y3' to each side of the equation.
4y3 + -4y3 = -162x + -7x2 + -4y3

Combine like terms: 4y3 + -4y3 = 0
0 = -162x + -7x2 + -4y3

Simplifying
0 = -162x + -7x2 + -4y3

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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