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

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


Simplifying
(2x + 3x2y) * dx + (x3 + -3y2) * dy = 0

Reorder the terms for easier multiplication:
dx(2x + 3x2y) + (x3 + -3y2) * dy = 0
(2x * dx + 3x2y * dx) + (x3 + -3y2) * dy = 0
(2dx2 + 3dx3y) + (x3 + -3y2) * dy = 0

Reorder the terms for easier multiplication:
2dx2 + 3dx3y + dy(x3 + -3y2) = 0
2dx2 + 3dx3y + (x3 * dy + -3y2 * dy) = 0
2dx2 + 3dx3y + (dx3y + -3dy3) = 0

Combine like terms: 3dx3y + dx3y = 4dx3y
2dx2 + 4dx3y + -3dy3 = 0

Solving
2dx2 + 4dx3y + -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(2x2 + 4x3y + -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 '(2x2 + 4x3y + -3y3)' equal to zero and attempt to solve:

Simplifying
2x2 + 4x3y + -3y3 = 0

Solving
2x2 + 4x3y + -3y3 = 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 + -3y3 = 0 + -2x2

Reorder the terms:
2x2 + -2x2 + 4x3y + -3y3 = 0 + -2x2

Combine like terms: 2x2 + -2x2 = 0
0 + 4x3y + -3y3 = 0 + -2x2
4x3y + -3y3 = 0 + -2x2
Remove the zero:
4x3y + -3y3 = -2x2

Add '-4x3y' to each side of the equation.
4x3y + -4x3y + -3y3 = -2x2 + -4x3y

Combine like terms: 4x3y + -4x3y = 0
0 + -3y3 = -2x2 + -4x3y
-3y3 = -2x2 + -4x3y

Add '3y3' to each side of the equation.
-3y3 + 3y3 = -2x2 + -4x3y + 3y3

Combine like terms: -3y3 + 3y3 = 0
0 = -2x2 + -4x3y + 3y3

Simplifying
0 = -2x2 + -4x3y + 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:

| [12-8(x-3y)]+10(9x+y)= | | 4x+3=5+2x | | 3(x+5)(x-5)-12=5(3x+3)+60 | | 3x^2-12+7=0 | | 9a^2-17a=2 | | -16t^2+75t+5=0 | | 66t^2+79t+5=0 | | w(3w+1)(w+15)=0 | | 36t^2+79t+5=0 | | 3w(w-4)=-9 | | (w-11)(w-4)=-10 | | 7a=2(a-20)+30 | | X^2-72x+1152=0 | | 0,5x+3=-10,5 | | 10x+28=6x+72 | | 171-3x=42x+16 | | 1,2x+3=-11,2 | | 6+2i/9-3i | | -9/4d+1=4/d+1 | | -8-4x=-7-9x | | 1/12d-4/3d=15 | | 1/12d-4/3d | | 1/12d-4/3d=y | | X^2-64x+962=0 | | 5y/6-2y/3+5=y | | X^2-64x-962=0 | | 7m^2+9m+5=0 | | -37(14x)+28(21x)=72-72+-166+96 | | (7+2i)/(3-3i) | | 4(x-4)+2x-3=4(4-x) | | 3n^2=-10n-4 | | 16y-5+2y=70 |

Equations solver categories