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

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


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

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

Reorder the terms:
(4dxy + 2dx2) + (2x + -2y) * dy = 0
(4dxy + 2dx2) + (2x + -2y) * dy = 0

Reorder the terms for easier multiplication:
4dxy + 2dx2 + dy(2x + -2y) = 0
4dxy + 2dx2 + (2x * dy + -2y * dy) = 0
4dxy + 2dx2 + (2dxy + -2dy2) = 0

Reorder the terms:
4dxy + 2dxy + 2dx2 + -2dy2 = 0

Combine like terms: 4dxy + 2dxy = 6dxy
6dxy + 2dx2 + -2dy2 = 0

Solving
6dxy + 2dx2 + -2dy2 = 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), '2d'.
2d(3xy + x2 + -1y2) = 0

Ignore the factor 2.

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 '(3xy + x2 + -1y2)' equal to zero and attempt to solve:

Simplifying
3xy + x2 + -1y2 = 0

Solving
3xy + x2 + -1y2 = 0

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

Add '-3xy' to each side of the equation.
3xy + x2 + -3xy + -1y2 = 0 + -3xy

Reorder the terms:
3xy + -3xy + x2 + -1y2 = 0 + -3xy

Combine like terms: 3xy + -3xy = 0
0 + x2 + -1y2 = 0 + -3xy
x2 + -1y2 = 0 + -3xy
Remove the zero:
x2 + -1y2 = -3xy

Add '-1x2' to each side of the equation.
x2 + -1x2 + -1y2 = -3xy + -1x2

Combine like terms: x2 + -1x2 = 0
0 + -1y2 = -3xy + -1x2
-1y2 = -3xy + -1x2

Add 'y2' to each side of the equation.
-1y2 + y2 = -3xy + -1x2 + y2

Combine like terms: -1y2 + y2 = 0
0 = -3xy + -1x2 + y2

Simplifying
0 = -3xy + -1x2 + y2

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:

| 8-48y=8-48y | | 5x+8/3x=26+6x | | x(x+1)(x+2)(x+3)-24=0 | | X-2(4-x)=3x+4 | | 2-7(11)=-75 | | 2(-27x-3)+(-37x+2)=360 | | 36x^2=3 | | v=5m-2c | | 77-33y=33y+27 | | 2x+5x-19=0 | | h=6h | | 2n^2-23n+30=0 | | 2n^2-23+30=0 | | 7k-8k= | | -20w+20=3+6w | | 4u^2-12u+11=0 | | 2t+6t+4= | | 2x^2-x-15=x(x-1) | | 2t+6t= | | 37+33y=27+33y | | 5t+6t+4= | | 5j+6j+7j= | | 5n^2-28n+32=0 | | 4n^2+n=0 | | n/1+2=19 | | 5xy+7y=12 | | 7(10+x)=168 | | (x^3+3x^2-10x-24)/(x+4) | | y=(3/5)x+2 | | t+12=-8 | | 9+A=22- | | 3/5w=-9/2 |

Equations solver categories