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

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


Simplifying
(x + 2y) * dx + -1(2x + y) * dy = 0

Reorder the terms for easier multiplication:
dx(x + 2y) + -1(2x + y) * dy = 0
(x * dx + 2y * dx) + -1(2x + y) * dy = 0

Reorder the terms:
(2dxy + dx2) + -1(2x + y) * dy = 0
(2dxy + dx2) + -1(2x + y) * dy = 0

Reorder the terms for easier multiplication:
2dxy + dx2 + -1dy(2x + y) = 0
2dxy + dx2 + (2x * -1dy + y * -1dy) = 0
2dxy + dx2 + (-2dxy + -1dy2) = 0

Reorder the terms:
2dxy + -2dxy + dx2 + -1dy2 = 0

Combine like terms: 2dxy + -2dxy = 0
0 + dx2 + -1dy2 = 0
dx2 + -1dy2 = 0

Solving
dx2 + -1dy2 = 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(x2 + -1y2) = 0

Factor a difference between two squares.
d((x + y)(x + -1y)) = 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 '(x + y)' equal to zero and attempt to solve:

Simplifying
x + y = 0

Solving
x + y = 0

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

Add '-1x' to each side of the equation.
x + -1x + y = 0 + -1x

Combine like terms: x + -1x = 0
0 + y = 0 + -1x
y = 0 + -1x
Remove the zero:
y = -1x

Add '-1y' to each side of the equation.
y + -1y = -1x + -1y

Combine like terms: y + -1y = 0
0 = -1x + -1y

Simplifying
0 = -1x + -1y

The solution to this equation could not be determined.

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

Subproblem 3
Set the factor '(x + -1y)' equal to zero and attempt to solve:

Simplifying
x + -1y = 0

Solving
x + -1y = 0

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

Add '-1x' to each side of the equation.
x + -1x + -1y = 0 + -1x

Combine like terms: x + -1x = 0
0 + -1y = 0 + -1x
-1y = 0 + -1x
Remove the zero:
-1y = -1x

Add 'y' to each side of the equation.
-1y + y = -1x + y

Combine like terms: -1y + y = 0
0 = -1x + y

Simplifying
0 = -1x + y

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:

| 8n+11=5(3n-2) | | -16w=5 | | 3x+2(x+12)=59 | | -1(-1)(-1)= | | 9x^2-20x-141=0 | | -540.00+13.50x=1500 | | h+10=2 | | -540.00+13.50x=4158 | | H(h-2)(h+6)=96 | | 24h-(5h+6)=27h+3 | | -540.00+133.40x=4158 | | -540.00+13.50=4158 | | 1.5q=15 | | -9(8)(1)= | | 10(-3)(2)= | | 5v+26=13-8v | | 2(a-1)=4a-(2a+4) | | 8w-16-5w^2=0 | | -4(5)(-3)= | | 3(3x-2)=6x-4 | | 33+3K=-(5k+21) | | -10x-20=-5x+30 | | 2x+18+4x=-2x+10+8x | | 2x+4(5x-13)=102 | | (-3)(-2)(-1)= | | (7t+-21)+(t+4)=15 | | 6(0)(-2)= | | m=6+2n | | 40w-80-5w^2=0 | | -1(50)(-1)= | | 5-2(x-3)=6x+1 | | 8(6)(-2)= |

Equations solver categories