(2x-10)dy+(10x^2+2y)dx=0

Simple and best practice solution for (2x-10)dy+(10x^2+2y)dx=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-10)dy+(10x^2+2y)dx=0 equation: 


Simplifying
(2x + -10) * dy + (10x2 + 2y) * dx = 0

Reorder the terms:
(-10 + 2x) * dy + (10x2 + 2y) * dx = 0

Reorder the terms for easier multiplication:
dy(-10 + 2x) + (10x2 + 2y) * dx = 0
(-10 * dy + 2x * dy) + (10x2 + 2y) * dx = 0

Reorder the terms:
(2dxy + -10dy) + (10x2 + 2y) * dx = 0
(2dxy + -10dy) + (10x2 + 2y) * dx = 0

Reorder the terms for easier multiplication:
2dxy + -10dy + dx(10x2 + 2y) = 0
2dxy + -10dy + (10x2 * dx + 2y * dx) = 0

Reorder the terms:
2dxy + -10dy + (2dxy + 10dx3) = 0
2dxy + -10dy + (2dxy + 10dx3) = 0

Reorder the terms:
2dxy + 2dxy + 10dx3 + -10dy = 0

Combine like terms: 2dxy + 2dxy = 4dxy
4dxy + 10dx3 + -10dy = 0

Solving
4dxy + 10dx3 + -10dy = 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(2xy + 5x3 + -5y) = 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 '(2xy + 5x3 + -5y)' equal to zero and attempt to solve:

Simplifying
2xy + 5x3 + -5y = 0

Solving
2xy + 5x3 + -5y = 0

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

Add '-2xy' to each side of the equation.
2xy + 5x3 + -2xy + -5y = 0 + -2xy

Reorder the terms:
2xy + -2xy + 5x3 + -5y = 0 + -2xy

Combine like terms: 2xy + -2xy = 0
0 + 5x3 + -5y = 0 + -2xy
5x3 + -5y = 0 + -2xy
Remove the zero:
5x3 + -5y = -2xy

Add '-5x3' to each side of the equation.
5x3 + -5x3 + -5y = -2xy + -5x3

Combine like terms: 5x3 + -5x3 = 0
0 + -5y = -2xy + -5x3
-5y = -2xy + -5x3

Add '5y' to each side of the equation.
-5y + 5y = -2xy + -5x3 + 5y

Combine like terms: -5y + 5y = 0
0 = -2xy + -5x3 + 5y

Simplifying
0 = -2xy + -5x3 + 5y

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:

| 4x+2x+30+58=180 | | 6=24n | | y=(a+4)x^2-(2a+4)x+1 | | 11x=12x-5 | | 3x-5(x-4)=-8+4x+10 | | -1254=33x | | 28+4w=24+3w | | 28+4w=24 | | X-66=88 | | 650=25p | | 3x-1+3x-1=2x+4 | | 12n=-384 | | X-36=683 | | -7(n-8)-(2+7n)=-15n | | 3x-5x+10=-9+2x-1 | | -9=-4x-7 | | 2x+(2x+10)=38 | | 2w^8-2=0 | | X+4=125 | | X=29+y | | y=5x^2+3x+6 | | 8-4s=s+13 | | X+75=143 | | -7*(-6)= | | X+359=1648 | | 4x-2(x-5)=-8+4x+4 | | X+450=2467 | | F(x)=x^3+5x-8x-48 | | -3.8x=44.46 | | 4(x-2)-6=-5(x-3) | | 10x^4+16x^3+4x^2= | | 14(x)=14 |

Equations solver categories