(18x+(2x^2)*y)dx-(x^2+4)dy=0

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Solution for (18x+(2x^2)*y)dx-(x^2+4)dy=0 equation: 


Simplifying
(18x + (2x2) * y) * dx + -1(x2 + 4) * dy = 0

Remove parenthesis around (2x2)
(18x + 2x2 * y) * dx + -1(x2 + 4) * dy = 0

Multiply x2 * y
(18x + 2x2y) * dx + -1(x2 + 4) * dy = 0

Reorder the terms for easier multiplication:
dx(18x + 2x2y) + -1(x2 + 4) * dy = 0
(18x * dx + 2x2y * dx) + -1(x2 + 4) * dy = 0
(18dx2 + 2dx3y) + -1(x2 + 4) * dy = 0

Reorder the terms:
18dx2 + 2dx3y + -1(4 + x2) * dy = 0

Reorder the terms for easier multiplication:
18dx2 + 2dx3y + -1dy(4 + x2) = 0
18dx2 + 2dx3y + (4 * -1dy + x2 * -1dy) = 0

Reorder the terms:
18dx2 + 2dx3y + (-1dx2y + -4dy) = 0
18dx2 + 2dx3y + (-1dx2y + -4dy) = 0

Reorder the terms:
18dx2 + -1dx2y + 2dx3y + -4dy = 0

Solving
18dx2 + -1dx2y + 2dx3y + -4dy = 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), 'd'.
d(18x2 + -1x2y + 2x3y + -4y) = 0


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

Simplifying
d = 0

Solving
d = 0

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

Simplifying
d = 0

Subproblem 2
Set the factor '(18x2 + -1x2y + 2x3y + -4y)' equal to zero and attempt to solve:

Simplifying
18x2 + -1x2y + 2x3y + -4y = 0

Solving
18x2 + -1x2y + 2x3y + -4y = 0

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

Add '-18x2' to each side of the equation.
18x2 + -1x2y + 2x3y + -18x2 + -4y = 0 + -18x2

Reorder the terms:
18x2 + -18x2 + -1x2y + 2x3y + -4y = 0 + -18x2

Combine like terms: 18x2 + -18x2 = 0
0 + -1x2y + 2x3y + -4y = 0 + -18x2
-1x2y + 2x3y + -4y = 0 + -18x2
Remove the zero:
-1x2y + 2x3y + -4y = -18x2

Add 'x2y' to each side of the equation.
-1x2y + 2x3y + x2y + -4y = -18x2 + x2y

Reorder the terms:
-1x2y + x2y + 2x3y + -4y = -18x2 + x2y

Combine like terms: -1x2y + x2y = 0
0 + 2x3y + -4y = -18x2 + x2y
2x3y + -4y = -18x2 + x2y

Add '-2x3y' to each side of the equation.
2x3y + -2x3y + -4y = -18x2 + x2y + -2x3y

Combine like terms: 2x3y + -2x3y = 0
0 + -4y = -18x2 + x2y + -2x3y
-4y = -18x2 + x2y + -2x3y

Add '4y' to each side of the equation.
-4y + 4y = -18x2 + x2y + -2x3y + 4y

Combine like terms: -4y + 4y = 0
0 = -18x2 + x2y + -2x3y + 4y

Simplifying
0 = -18x2 + x2y + -2x3y + 4y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
d = {0}

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