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

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


Simplifying
(3x + 6xy + y2) * dx + (2x2 + 3xy) * dy = 0

Reorder the terms for easier multiplication:
dx(3x + 6xy + y2) + (2x2 + 3xy) * dy = 0
(3x * dx + 6xy * dx + y2 * dx) + (2x2 + 3xy) * dy = 0

Reorder the terms:
(dxy2 + 3dx2 + 6dx2y) + (2x2 + 3xy) * dy = 0
(dxy2 + 3dx2 + 6dx2y) + (2x2 + 3xy) * dy = 0

Reorder the terms:
dxy2 + 3dx2 + 6dx2y + (3xy + 2x2) * dy = 0

Reorder the terms for easier multiplication:
dxy2 + 3dx2 + 6dx2y + dy(3xy + 2x2) = 0
dxy2 + 3dx2 + 6dx2y + (3xy * dy + 2x2 * dy) = 0
dxy2 + 3dx2 + 6dx2y + (3dxy2 + 2dx2y) = 0

Reorder the terms:
dxy2 + 3dxy2 + 3dx2 + 6dx2y + 2dx2y = 0

Combine like terms: dxy2 + 3dxy2 = 4dxy2
4dxy2 + 3dx2 + 6dx2y + 2dx2y = 0

Combine like terms: 6dx2y + 2dx2y = 8dx2y
4dxy2 + 3dx2 + 8dx2y = 0

Solving
4dxy2 + 3dx2 + 8dx2y = 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), 'dx'.
dx(4y2 + 3x + 8xy) = 0


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

Simplifying
dx = 0

Solving
dx = 0

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

Simplifying
dx = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(4y2 + 3x + 8xy)' equal to zero and attempt to solve:

Simplifying
4y2 + 3x + 8xy = 0

Reorder the terms:
3x + 8xy + 4y2 = 0

Solving
3x + 8xy + 4y2 = 0

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

Add '-3x' to each side of the equation.
3x + 8xy + -3x + 4y2 = 0 + -3x

Reorder the terms:
3x + -3x + 8xy + 4y2 = 0 + -3x

Combine like terms: 3x + -3x = 0
0 + 8xy + 4y2 = 0 + -3x
8xy + 4y2 = 0 + -3x
Remove the zero:
8xy + 4y2 = -3x

Add '-8xy' to each side of the equation.
8xy + -8xy + 4y2 = -3x + -8xy

Combine like terms: 8xy + -8xy = 0
0 + 4y2 = -3x + -8xy
4y2 = -3x + -8xy

Add '-4y2' to each side of the equation.
4y2 + -4y2 = -3x + -8xy + -4y2

Combine like terms: 4y2 + -4y2 = 0
0 = -3x + -8xy + -4y2

Simplifying
0 = -3x + -8xy + -4y2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| t*6-6=9 | | 2/3(3x-9)=11 | | 4a+9=2a-6 | | a*4+1=9 | | (3r+7)*2=-34 | | 12x+36=-2x | | -6n-4n=10 | | 9X^2-14X=X+6 | | 9x+1.5=4x+0.6 | | 6b+39=5b+1 | | 5(x-2)=71-4x | | 3(x-4)=36-3x | | 2y+-8x=4 | | 2x-1=119 | | 4x-5=55-8x | | 9x+2=5x+38 | | 2h-(h+12)=5h | | 1.25x+7.25=2.75 | | 363s=2162s+1 | | 2x^2+4x-9=2+x^2-2 | | (2^2x5^4/15)^4 | | Abc=4prt(forc) | | 4c-14=-2 | | 9x+1=4x+41 | | (x+58)+(x+21)=180 | | 2(2x+3)=3x+1 | | 4(n+1)=28 | | 2a=10a-5a-2 | | -2(x+6)-22=-18 | | 6n+1=6n-1 | | 5x-6=4y | | a/6-2-7 |

Equations solver categories