(3y^2-x)dx+(2y^3-6xy)dy=0

Simple and best practice solution for (3y^2-x)dx+(2y^3-6xy)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 (3y^2-x)dx+(2y^3-6xy)dy=0 equation: 


Simplifying
(3y2 + -1x) * dx + (2y3 + -6xy) * dy = 0

Reorder the terms:
(-1x + 3y2) * dx + (2y3 + -6xy) * dy = 0

Reorder the terms for easier multiplication:
dx(-1x + 3y2) + (2y3 + -6xy) * dy = 0
(-1x * dx + 3y2 * dx) + (2y3 + -6xy) * dy = 0

Reorder the terms:
(3dxy2 + -1dx2) + (2y3 + -6xy) * dy = 0
(3dxy2 + -1dx2) + (2y3 + -6xy) * dy = 0

Reorder the terms:
3dxy2 + -1dx2 + (-6xy + 2y3) * dy = 0

Reorder the terms for easier multiplication:
3dxy2 + -1dx2 + dy(-6xy + 2y3) = 0
3dxy2 + -1dx2 + (-6xy * dy + 2y3 * dy) = 0
3dxy2 + -1dx2 + (-6dxy2 + 2dy4) = 0

Reorder the terms:
3dxy2 + -6dxy2 + -1dx2 + 2dy4 = 0

Combine like terms: 3dxy2 + -6dxy2 = -3dxy2
-3dxy2 + -1dx2 + 2dy4 = 0

Solving
-3dxy2 + -1dx2 + 2dy4 = 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(-3xy2 + -1x2 + 2y4) = 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 '(-3xy2 + -1x2 + 2y4)' equal to zero and attempt to solve:

Simplifying
-3xy2 + -1x2 + 2y4 = 0

Solving
-3xy2 + -1x2 + 2y4 = 0

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

Add '3xy2' to each side of the equation.
-3xy2 + -1x2 + 3xy2 + 2y4 = 0 + 3xy2

Reorder the terms:
-3xy2 + 3xy2 + -1x2 + 2y4 = 0 + 3xy2

Combine like terms: -3xy2 + 3xy2 = 0
0 + -1x2 + 2y4 = 0 + 3xy2
-1x2 + 2y4 = 0 + 3xy2
Remove the zero:
-1x2 + 2y4 = 3xy2

Add 'x2' to each side of the equation.
-1x2 + x2 + 2y4 = 3xy2 + x2

Combine like terms: -1x2 + x2 = 0
0 + 2y4 = 3xy2 + x2
2y4 = 3xy2 + x2

Add '-2y4' to each side of the equation.
2y4 + -2y4 = 3xy2 + x2 + -2y4

Combine like terms: 2y4 + -2y4 = 0
0 = 3xy2 + x2 + -2y4

Simplifying
0 = 3xy2 + x2 + -2y4

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:

| (x+3)(x^2-5x+2)= | | 16(22)=y | | 8x-3=10x+9 | | 6b-4b=20 | | 5x+238=14x-14 | | 4x^2=7+2x | | 3n+6-7n=33-11n+29 | | 3[1-3x]=2-4x+7 | | 2(2x+4)=48 | | Ln(x+6)-ln(x)=1 | | (5-2i)-(5-6i)= | | -31=3(3x+2)-1 | | -8d-9=-3(1d+3)-5d | | f(x)=-8x^2+7x+6 | | 4(y-5)=5y-20 | | (6+7i)+(5-2i)= | | 3x(x+4)=3x+4 | | 144=-8(7n+5) | | 4x-5=6x^2-7 | | (9x+12)-2(x+3)=6 | | y(17)=0 | | =500+1/5x | | -3(x+9)=-38 | | -10=-4/5y+6 | | =3/20x+1000 | | 5x+13=66 | | 3z+8=z-2 | | In(2x)=5 | | x^3+x^2-(4x+4)=0 | | 7x+34=6x+42 | | 12(2+x)=6 | | 0=-9(-5+r) |

Equations solver categories