(y+2)dx+y(x+4)dy=0

Simple and best practice solution for (y+2)dx+y(x+4)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 (y+2)dx+y(x+4)dy=0 equation: 


Simplifying
(y + 2) * dx + y(x + 4) * dy = 0

Reorder the terms:
(2 + y) * dx + y(x + 4) * dy = 0

Reorder the terms for easier multiplication:
dx(2 + y) + y(x + 4) * dy = 0
(2 * dx + y * dx) + y(x + 4) * dy = 0
(2dx + dxy) + y(x + 4) * dy = 0

Reorder the terms:
2dx + dxy + y(4 + x) * dy = 0

Reorder the terms for easier multiplication:
2dx + dxy + y * dy(4 + x) = 0

Multiply y * dy
2dx + dxy + dy2(4 + x) = 0
2dx + dxy + (4 * dy2 + x * dy2) = 0

Reorder the terms:
2dx + dxy + (dxy2 + 4dy2) = 0
2dx + dxy + (dxy2 + 4dy2) = 0

Solving
2dx + dxy + dxy2 + 4dy2 = 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(2x + xy + xy2 + 4y2) = 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 '(2x + xy + xy2 + 4y2)' equal to zero and attempt to solve:

Simplifying
2x + xy + xy2 + 4y2 = 0

Solving
2x + xy + xy2 + 4y2 = 0

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

Add '-2x' to each side of the equation.
2x + xy + xy2 + -2x + 4y2 = 0 + -2x

Reorder the terms:
2x + -2x + xy + xy2 + 4y2 = 0 + -2x

Combine like terms: 2x + -2x = 0
0 + xy + xy2 + 4y2 = 0 + -2x
xy + xy2 + 4y2 = 0 + -2x
Remove the zero:
xy + xy2 + 4y2 = -2x

Add '-1xy' to each side of the equation.
xy + xy2 + -1xy + 4y2 = -2x + -1xy

Reorder the terms:
xy + -1xy + xy2 + 4y2 = -2x + -1xy

Combine like terms: xy + -1xy = 0
0 + xy2 + 4y2 = -2x + -1xy
xy2 + 4y2 = -2x + -1xy

Add '-1xy2' to each side of the equation.
xy2 + -1xy2 + 4y2 = -2x + -1xy + -1xy2

Combine like terms: xy2 + -1xy2 = 0
0 + 4y2 = -2x + -1xy + -1xy2
4y2 = -2x + -1xy + -1xy2

Add '-4y2' to each side of the equation.
4y2 + -4y2 = -2x + -1xy + -1xy2 + -4y2

Combine like terms: 4y2 + -4y2 = 0
0 = -2x + -1xy + -1xy2 + -4y2

Simplifying
0 = -2x + -1xy + -1xy2 + -4y2

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:

| 5(d-7)=3(d+5) | | 5w+9=8w+15 | | -4.2x+31.5=9-65.1 | | 3(m-3)-4=4(m-7) | | 4nx=30-6 | | 9g+5g+-4g+g= | | 4nx=30/6 | | 9(x-3)=-5(x+2)+32 | | (Q+6)Q+5= | | x+2.1=3.8 | | 356*42= | | B-11=7 | | 4-22=5x-7-4x | | (10x+y)-(10y+x)=72 | | 2/3=26/n | | 10x+y-10y+x=72 | | 1/x-1/a | | 4x^2-1/9 | | 16/5*5 | | 8/5*5 | | 4x-3x+13=11-8 | | (9+3)-b+26=31 | | (x-a)/ax/(x-a) | | T/4-t/10=1/4 | | f(x)=5/7x-35 | | 3.4x+8.3=1.5x+19.7 | | 4y+10=9y-17 | | 8/5*2 | | 2(3.14)9+2(3.14)(3)(4)= | | 4a+3=-4 | | X+3.2=180 | | 4(-5x+8)-x+5=15 |

Equations solver categories