(x+5y)dy+(2x+3y)dx=0

Simple and best practice solution for (x+5y)dy+(2x+3y)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 (x+5y)dy+(2x+3y)dx=0 equation: 


Simplifying
(x + 5y) * dy + (2x + 3y) * dx = 0

Reorder the terms for easier multiplication:
dy(x + 5y) + (2x + 3y) * dx = 0
(x * dy + 5y * dy) + (2x + 3y) * dx = 0
(dxy + 5dy2) + (2x + 3y) * dx = 0

Reorder the terms for easier multiplication:
dxy + 5dy2 + dx(2x + 3y) = 0
dxy + 5dy2 + (2x * dx + 3y * dx) = 0

Reorder the terms:
dxy + 5dy2 + (3dxy + 2dx2) = 0
dxy + 5dy2 + (3dxy + 2dx2) = 0

Reorder the terms:
dxy + 3dxy + 2dx2 + 5dy2 = 0

Combine like terms: dxy + 3dxy = 4dxy
4dxy + 2dx2 + 5dy2 = 0

Solving
4dxy + 2dx2 + 5dy2 = 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 + 2x2 + 5y2) = 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 + 2x2 + 5y2)' equal to zero and attempt to solve:

Simplifying
4xy + 2x2 + 5y2 = 0

Solving
4xy + 2x2 + 5y2 = 0

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

Add '-4xy' to each side of the equation.
4xy + 2x2 + -4xy + 5y2 = 0 + -4xy

Reorder the terms:
4xy + -4xy + 2x2 + 5y2 = 0 + -4xy

Combine like terms: 4xy + -4xy = 0
0 + 2x2 + 5y2 = 0 + -4xy
2x2 + 5y2 = 0 + -4xy
Remove the zero:
2x2 + 5y2 = -4xy

Add '-2x2' to each side of the equation.
2x2 + -2x2 + 5y2 = -4xy + -2x2

Combine like terms: 2x2 + -2x2 = 0
0 + 5y2 = -4xy + -2x2
5y2 = -4xy + -2x2

Add '-5y2' to each side of the equation.
5y2 + -5y2 = -4xy + -2x2 + -5y2

Combine like terms: 5y2 + -5y2 = 0
0 = -4xy + -2x2 + -5y2

Simplifying
0 = -4xy + -2x2 + -5y2

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:

| -(5/12)y=25 | | 16+3s-2s=24+2s | | xxxx=69 | | 3x^2+36x+96= | | x.x.x.x=69 | | 5x-6(2x)=14 | | -5m+2+8m=2m | | -84-17x=-169 | | -2.3q+16=-5q+-38 | | 3(w+1)=5w-1 | | 47x+149=133 | | 3w+6=-w+30 | | -1/2X=-10 | | 4*(2-3x)-2*(9x-8)=15*(1-x)+3*(4-x) | | 6f+1=2f+13 | | 4x-35=x+12 | | 4=-3+6 | | 7x+12=-4 | | 3x^2=4-11x | | (-23-32)0.56=c | | 9n-2=7n+40 | | (e^6x)+(4e^3x)-12=0 | | 6x+18=-2x+-62 | | -16x^2+75x+4=0 | | 7(3n+1)=-161 | | (120-32)0.56=c | | 6x+18=-2x+31 | | -2x+9=-3 | | (97-32)0.56=c | | 3n-5=12 | | 5*(0,14-0,23x)+3*(0,3x+0,1)=0 | | 3ln(7x)=27 |

Equations solver categories