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

Simple and best practice solution for (2x+3x^2y)*dx+(x^3-3y)*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 (2x+3x^2y)*dx+(x^3-3y)*dy=0 equation: 


Simplifying
(2x + 3x2y) * dx + (x3 + -3y) * dy = 0

Reorder the terms for easier multiplication:
dx(2x + 3x2y) + (x3 + -3y) * dy = 0
(2x * dx + 3x2y * dx) + (x3 + -3y) * dy = 0
(2dx2 + 3dx3y) + (x3 + -3y) * dy = 0

Reorder the terms for easier multiplication:
2dx2 + 3dx3y + dy(x3 + -3y) = 0
2dx2 + 3dx3y + (x3 * dy + -3y * dy) = 0
2dx2 + 3dx3y + (dx3y + -3dy2) = 0

Combine like terms: 3dx3y + dx3y = 4dx3y
2dx2 + 4dx3y + -3dy2 = 0

Solving
2dx2 + 4dx3y + -3dy2 = 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(2x2 + 4x3y + -3y2) = 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 '(2x2 + 4x3y + -3y2)' equal to zero and attempt to solve:

Simplifying
2x2 + 4x3y + -3y2 = 0

Solving
2x2 + 4x3y + -3y2 = 0

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

Add '-2x2' to each side of the equation.
2x2 + 4x3y + -2x2 + -3y2 = 0 + -2x2

Reorder the terms:
2x2 + -2x2 + 4x3y + -3y2 = 0 + -2x2

Combine like terms: 2x2 + -2x2 = 0
0 + 4x3y + -3y2 = 0 + -2x2
4x3y + -3y2 = 0 + -2x2
Remove the zero:
4x3y + -3y2 = -2x2

Add '-4x3y' to each side of the equation.
4x3y + -4x3y + -3y2 = -2x2 + -4x3y

Combine like terms: 4x3y + -4x3y = 0
0 + -3y2 = -2x2 + -4x3y
-3y2 = -2x2 + -4x3y

Add '3y2' to each side of the equation.
-3y2 + 3y2 = -2x2 + -4x3y + 3y2

Combine like terms: -3y2 + 3y2 = 0
0 = -2x2 + -4x3y + 3y2

Simplifying
0 = -2x2 + -4x3y + 3y2

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:

| 4(0.5f-0.25)=6+f | | 2log(7)5+log(7)x=log(7)100 | | -6(r-4)+7(7r+5)=69 | | X^2+4*x+20-12*x+5=0 | | 1.169590643=117 | | x=4lnx^2 | | 154=-2(7x-7)-6x | | -15x-3=27 | | 4x-7-(3x)=7(x-2) | | 7(-8x+2)=462 | | H=-6t+72t+1 | | 2x-18=(-36) | | Ln(x-1)-ln(2x)=0 | | -3q=3q+4o | | -143=-5(1+4n)-3n | | 0=-7y-31 | | 2x^3(5x^3-7)=0 | | 4(x-5)+3=35 | | p(m-n)+2q(m-n)= | | 158.40-6.8=14.2+630 | | 12b=4(2h-5) | | 8x+10=4(x+3) | | 35.36=y-6.62 | | m(a+5b)-n(a+5b)= | | 4-8-13y=32 | | -39+-13u=-923 | | 10x(4-1)-2= | | 3x+3=4x-12 | | 3x+7+2x+3=180 | | -39+-134=-923 | | 2+3p-p=s | | 5k^2-45k-50= |

Equations solver categories