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

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


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

Reorder the terms for easier multiplication:
dx(3xy + x2) + (y2 + xy) * dy = 0
(3xy * dx + x2 * dx) + (y2 + xy) * dy = 0
(3dx2y + dx3) + (y2 + xy) * dy = 0

Reorder the terms:
3dx2y + dx3 + (xy + y2) * dy = 0

Reorder the terms for easier multiplication:
3dx2y + dx3 + dy(xy + y2) = 0
3dx2y + dx3 + (xy * dy + y2 * dy) = 0
3dx2y + dx3 + (dxy2 + dy3) = 0

Reorder the terms:
dxy2 + 3dx2y + dx3 + dy3 = 0

Solving
dxy2 + 3dx2y + dx3 + dy3 = 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(xy2 + 3x2y + x3 + y3) = 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 '(xy2 + 3x2y + x3 + y3)' equal to zero and attempt to solve:

Simplifying
xy2 + 3x2y + x3 + y3 = 0

Solving
xy2 + 3x2y + x3 + y3 = 0

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

Add '-1xy2' to each side of the equation.
xy2 + 3x2y + x3 + -1xy2 + y3 = 0 + -1xy2

Reorder the terms:
xy2 + -1xy2 + 3x2y + x3 + y3 = 0 + -1xy2

Combine like terms: xy2 + -1xy2 = 0
0 + 3x2y + x3 + y3 = 0 + -1xy2
3x2y + x3 + y3 = 0 + -1xy2
Remove the zero:
3x2y + x3 + y3 = -1xy2

Add '-3x2y' to each side of the equation.
3x2y + x3 + -3x2y + y3 = -1xy2 + -3x2y

Reorder the terms:
3x2y + -3x2y + x3 + y3 = -1xy2 + -3x2y

Combine like terms: 3x2y + -3x2y = 0
0 + x3 + y3 = -1xy2 + -3x2y
x3 + y3 = -1xy2 + -3x2y

Add '-1x3' to each side of the equation.
x3 + -1x3 + y3 = -1xy2 + -3x2y + -1x3

Combine like terms: x3 + -1x3 = 0
0 + y3 = -1xy2 + -3x2y + -1x3
y3 = -1xy2 + -3x2y + -1x3

Add '-1y3' to each side of the equation.
y3 + -1y3 = -1xy2 + -3x2y + -1x3 + -1y3

Combine like terms: y3 + -1y3 = 0
0 = -1xy2 + -3x2y + -1x3 + -1y3

Simplifying
0 = -1xy2 + -3x2y + -1x3 + -1y3

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-1)=9-2(x+3) | | ax-ay-bx+by= | | 4p^2-q^2= | | x^2-4x+10=-x-5 | | 21+14=7+8-10 | | -2(2x-7)=3(4x-2) | | 4x+(-4)=-36 | | y=-6x+120 | | 6.5x-2.9=23.1 | | Log(6)*216=2x+9 | | c+2-5-5c=7 | | x-15=(15-21) | | -7(t-2)-(t+3)=4 | | (11p-4q^2-q)-(q^2-4p+7p^2)= | | 8^2x-1=1/2 | | x^2-7x-x+14=0 | | x/9.2=2 | | -5x-36=-4(3x-5) | | 4(x+3)=4(x+12) | | 2x+13=6x+1 | | 13=2x+1 | | -16x=-18 | | (6-y)(5y+2)=0 | | 14+3y=8 | | 50-x=35 | | 15+7n-(-9n)= | | (4a-4b^2-a)+(b-4+8a^2)= | | 8T-5+10+T= | | 2=-x+3 | | (u^2-4)/(u-6)(u-2) | | 41-(3/8x)=-22 | | (40ab-24a²)//45b²-27cb) |

Equations solver categories