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

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


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

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

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

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

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

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

Solving
4dxy + dx2 + dy2 = 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(4xy + x2 + y2) = 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 '(4xy + x2 + y2)' equal to zero and attempt to solve:

Simplifying
4xy + x2 + y2 = 0

Solving
4xy + x2 + y2 = 0

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

Add '-4xy' to each side of the equation.
4xy + x2 + -4xy + y2 = 0 + -4xy

Reorder the terms:
4xy + -4xy + x2 + y2 = 0 + -4xy

Combine like terms: 4xy + -4xy = 0
0 + x2 + y2 = 0 + -4xy
x2 + y2 = 0 + -4xy
Remove the zero:
x2 + y2 = -4xy

Add '-1x2' to each side of the equation.
x2 + -1x2 + y2 = -4xy + -1x2

Combine like terms: x2 + -1x2 = 0
0 + y2 = -4xy + -1x2
y2 = -4xy + -1x2

Add '-1y2' to each side of the equation.
y2 + -1y2 = -4xy + -1x2 + -1y2

Combine like terms: y2 + -1y2 = 0
0 = -4xy + -1x2 + -1y2

Simplifying
0 = -4xy + -1x2 + -1y2

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:

| (b+4)12= | | f(-2)=5x^2-5x-7 | | -3+14=14x-5-13x | | log(.55/x) | | 4x^3+12x-16=0 | | -6(x-y)= | | 11=-9+4x | | 7(x+4)=4(x-(4-x)) | | 20x-xy=15y | | 15=5+2(x+3) | | x^4+8x^3+24x^2+3x+10=0 | | 6x+5x*x=-1 | | 6x+5x*x=1 | | -20-26= | | 9x-3-8x=7-21 | | 4(2x+3)=9 | | 5=2(v-8)-5v | | 100-7x=29+20 | | 6(x-6)=x-1 | | 14x-((9x)-5)=25 | | 6z+10=-8 | | 30x-20x=1500000 | | 144=(x+4)(3x+6) | | 4x^2+80x+120=0 | | 14-8n-17=8n+21-4n | | 3(2x+3)=9 | | 54.8-d/5=60.01 | | 4b-9=-9 | | 15x+25=16x+20 | | 79-2x=24+9x | | y-(-5)=0.5(x-(-2)) | | 2x-13=-23 |

Equations solver categories