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

Simple and best practice solution for (3x^2+2y+3)dx+(x^3+2x+3y^2)dy=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

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


Simplifying
(3x2 + 2y + 3) * dx + (x3 + 2x + 3y2) * dy = 0

Reorder the terms:
(3 + 3x2 + 2y) * dx + (x3 + 2x + 3y2) * dy = 0

Reorder the terms for easier multiplication:
dx(3 + 3x2 + 2y) + (x3 + 2x + 3y2) * dy = 0
(3 * dx + 3x2 * dx + 2y * dx) + (x3 + 2x + 3y2) * dy = 0

Reorder the terms:
(3dx + 2dxy + 3dx3) + (x3 + 2x + 3y2) * dy = 0
(3dx + 2dxy + 3dx3) + (x3 + 2x + 3y2) * dy = 0

Reorder the terms:
3dx + 2dxy + 3dx3 + (2x + x3 + 3y2) * dy = 0

Reorder the terms for easier multiplication:
3dx + 2dxy + 3dx3 + dy(2x + x3 + 3y2) = 0
3dx + 2dxy + 3dx3 + (2x * dy + x3 * dy + 3y2 * dy) = 0
3dx + 2dxy + 3dx3 + (2dxy + dx3y + 3dy3) = 0

Reorder the terms:
3dx + 2dxy + 2dxy + 3dx3 + dx3y + 3dy3 = 0

Combine like terms: 2dxy + 2dxy = 4dxy
3dx + 4dxy + 3dx3 + dx3y + 3dy3 = 0

Solving
3dx + 4dxy + 3dx3 + dx3y + 3dy3 = 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(3x + 4xy + 3x3 + x3y + 3y3) = 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 '(3x + 4xy + 3x3 + x3y + 3y3)' equal to zero and attempt to solve:

Simplifying
3x + 4xy + 3x3 + x3y + 3y3 = 0

Solving
3x + 4xy + 3x3 + x3y + 3y3 = 0

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

Add '-3x' to each side of the equation.
3x + 4xy + 3x3 + x3y + -3x + 3y3 = 0 + -3x

Reorder the terms:
3x + -3x + 4xy + 3x3 + x3y + 3y3 = 0 + -3x

Combine like terms: 3x + -3x = 0
0 + 4xy + 3x3 + x3y + 3y3 = 0 + -3x
4xy + 3x3 + x3y + 3y3 = 0 + -3x
Remove the zero:
4xy + 3x3 + x3y + 3y3 = -3x

Add '-4xy' to each side of the equation.
4xy + 3x3 + x3y + -4xy + 3y3 = -3x + -4xy

Reorder the terms:
4xy + -4xy + 3x3 + x3y + 3y3 = -3x + -4xy

Combine like terms: 4xy + -4xy = 0
0 + 3x3 + x3y + 3y3 = -3x + -4xy
3x3 + x3y + 3y3 = -3x + -4xy

Add '-3x3' to each side of the equation.
3x3 + x3y + -3x3 + 3y3 = -3x + -4xy + -3x3

Reorder the terms:
3x3 + -3x3 + x3y + 3y3 = -3x + -4xy + -3x3

Combine like terms: 3x3 + -3x3 = 0
0 + x3y + 3y3 = -3x + -4xy + -3x3
x3y + 3y3 = -3x + -4xy + -3x3

Add '-1x3y' to each side of the equation.
x3y + -1x3y + 3y3 = -3x + -4xy + -3x3 + -1x3y

Combine like terms: x3y + -1x3y = 0
0 + 3y3 = -3x + -4xy + -3x3 + -1x3y
3y3 = -3x + -4xy + -3x3 + -1x3y

Add '-3y3' to each side of the equation.
3y3 + -3y3 = -3x + -4xy + -3x3 + -1x3y + -3y3

Combine like terms: 3y3 + -3y3 = 0
0 = -3x + -4xy + -3x3 + -1x3y + -3y3

Simplifying
0 = -3x + -4xy + -3x3 + -1x3y + -3y3

The solution to this equation could not be determined.

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

See similar equations:

| (18+3x+x^2)=o | | ab-2b^2=-15 | | 2=14-x | | x+22-10y= | | log(x+1)(a+x-6)=2 | | Z=Px+Qy+PQ | | ab-b^2=-10 | | ab-b^2=10 | | v+2=9 | | 8y=x+26 | | logx+1(a+x-6)=2 | | P^2+Q^2=npq | | phi(5^1/6)=1/x^3-1 | | X=20log(5) | | .25(x+4)=15 | | x^3-20x^2+84x-80=0 | | -.25(x+2)=15 | | 2z-30=180 | | H(t)=-16t+80t+14 | | 2z-30= | | x^2=(-5-4x)/2 | | 4x+y+20= | | 2(7+4x)+2x=444 | | log*2(5*m-2)-log*2(m+3)=2 | | 474=2t^2+42 | | (8+w)(3w+5)=0 | | -2/25 | | f-6=12 | | 20+(-9)(-15)+(-2)=0 | | 1000-63000-6000+15000=0 | | 16=m+6 | | 4x^2-32x-180=0 |

Equations solver categories