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

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


Simplifying
(x + y + x) * dx + -1(y + x2y) * dy = 0

Reorder the terms:
(x + x + y) * dx + -1(y + x2y) * dy = 0

Combine like terms: x + x = 2x
(2x + y) * dx + -1(y + x2y) * dy = 0

Reorder the terms for easier multiplication:
dx(2x + y) + -1(y + x2y) * dy = 0
(2x * dx + y * dx) + -1(y + x2y) * dy = 0

Reorder the terms:
(dxy + 2dx2) + -1(y + x2y) * dy = 0
(dxy + 2dx2) + -1(y + x2y) * dy = 0

Reorder the terms:
dxy + 2dx2 + -1(x2y + y) * dy = 0

Reorder the terms for easier multiplication:
dxy + 2dx2 + -1dy(x2y + y) = 0
dxy + 2dx2 + (x2y * -1dy + y * -1dy) = 0
dxy + 2dx2 + (-1dx2y2 + -1dy2) = 0

Solving
dxy + 2dx2 + -1dx2y2 + -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(xy + 2x2 + -1x2y2 + -1y2) = 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 '(xy + 2x2 + -1x2y2 + -1y2)' equal to zero and attempt to solve:

Simplifying
xy + 2x2 + -1x2y2 + -1y2 = 0

Solving
xy + 2x2 + -1x2y2 + -1y2 = 0

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

Add '-1xy' to each side of the equation.
xy + 2x2 + -1x2y2 + -1xy + -1y2 = 0 + -1xy

Reorder the terms:
xy + -1xy + 2x2 + -1x2y2 + -1y2 = 0 + -1xy

Combine like terms: xy + -1xy = 0
0 + 2x2 + -1x2y2 + -1y2 = 0 + -1xy
2x2 + -1x2y2 + -1y2 = 0 + -1xy
Remove the zero:
2x2 + -1x2y2 + -1y2 = -1xy

Add '-2x2' to each side of the equation.
2x2 + -1x2y2 + -2x2 + -1y2 = -1xy + -2x2

Reorder the terms:
2x2 + -2x2 + -1x2y2 + -1y2 = -1xy + -2x2

Combine like terms: 2x2 + -2x2 = 0
0 + -1x2y2 + -1y2 = -1xy + -2x2
-1x2y2 + -1y2 = -1xy + -2x2

Add 'x2y2' to each side of the equation.
-1x2y2 + x2y2 + -1y2 = -1xy + -2x2 + x2y2

Combine like terms: -1x2y2 + x2y2 = 0
0 + -1y2 = -1xy + -2x2 + x2y2
-1y2 = -1xy + -2x2 + x2y2

Add 'y2' to each side of the equation.
-1y2 + y2 = -1xy + -2x2 + x2y2 + y2

Combine like terms: -1y2 + y2 = 0
0 = -1xy + -2x2 + x2y2 + y2

Simplifying
0 = -1xy + -2x2 + x2y2 + 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:

| 2x-18y=PR | | 37/7= | | m-48=13 | | 23-2x=-15x+7 | | 11.2-0.3+1.7-1.3=18-1.6-6.8 | | -2.30-0.60y=-1.4 | | 27x^3-1000=0 | | 180-24.2-x= | | 32.76+8.75x=2.45x | | 2(x-5)-2=0 | | -10=-x-15 | | -5(x+3)-2(6-7x)=9 | | (x+1)x(x-1)=1320 | | 2(x-5)-20=0 | | 5=05x+1 | | 2x^2+28x+8=0 | | 5=0.5x+1 | | 9s*9s-18s=0 | | 180-242-x= | | r-35=8.7 | | 10a+5=15 | | 4(x^2+3)-5(2-3x^2)= | | 4-17=5+x | | 8x(3)=12 | | 13x-4x+2=9x+6-4 | | 2x+2345-86=14 | | 1*x^3+1*x^2+1*x=0 | | 1*x^3+1*x^2+1*x+1=0 | | 2e=-3 | | -x^3+22*x^2-162*x+400=0 | | -x^3+22*x^2-161*x+400=0 | | 9=16+4(m-6) |

Equations solver categories