(3y+2)dx-(5x-7)dy=0

Simple and best practice solution for (3y+2)dx-(5x-7)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 (3y+2)dx-(5x-7)dy=0 equation: 


Simplifying
(3y + 2) * dx + -1(5x + -7) * dy = 0

Reorder the terms:
(2 + 3y) * dx + -1(5x + -7) * dy = 0

Reorder the terms for easier multiplication:
dx(2 + 3y) + -1(5x + -7) * dy = 0
(2 * dx + 3y * dx) + -1(5x + -7) * dy = 0
(2dx + 3dxy) + -1(5x + -7) * dy = 0

Reorder the terms:
2dx + 3dxy + -1(-7 + 5x) * dy = 0

Reorder the terms for easier multiplication:
2dx + 3dxy + -1dy(-7 + 5x) = 0
2dx + 3dxy + (-7 * -1dy + 5x * -1dy) = 0

Reorder the terms:
2dx + 3dxy + (-5dxy + 7dy) = 0
2dx + 3dxy + (-5dxy + 7dy) = 0

Combine like terms: 3dxy + -5dxy = -2dxy
2dx + -2dxy + 7dy = 0

Solving
2dx + -2dxy + 7dy = 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(2x + -2xy + 7y) = 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 '(2x + -2xy + 7y)' equal to zero and attempt to solve:

Simplifying
2x + -2xy + 7y = 0

Solving
2x + -2xy + 7y = 0

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

Add '-2x' to each side of the equation.
2x + -2xy + -2x + 7y = 0 + -2x

Reorder the terms:
2x + -2x + -2xy + 7y = 0 + -2x

Combine like terms: 2x + -2x = 0
0 + -2xy + 7y = 0 + -2x
-2xy + 7y = 0 + -2x
Remove the zero:
-2xy + 7y = -2x

Add '2xy' to each side of the equation.
-2xy + 2xy + 7y = -2x + 2xy

Combine like terms: -2xy + 2xy = 0
0 + 7y = -2x + 2xy
7y = -2x + 2xy

Add '-7y' to each side of the equation.
7y + -7y = -2x + 2xy + -7y

Combine like terms: 7y + -7y = 0
0 = -2x + 2xy + -7y

Simplifying
0 = -2x + 2xy + -7y

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:

| 15x+-10=-9x+2 | | -9x-9y=0 | | 1=0.4x-0.6x-17 | | 4x+3x-6-6=10+3 | | 3x^2=3-4x | | -3n+5n=38 | | x=2500-5x | | 3.5-h=42 | | w=y(r+A) | | 3.5+42=h | | 14k-5=65 | | z+9=126 | | 183/5+29/28-11/28 | | 5+105(2d-1)=.5 | | 6s-14=-6s+5 | | 8+11t-5=6t+66-4t | | 3.5+h=42 | | -8x-x+5=-6+5-3x | | T^3+12t^2-2t-24=0 | | 3x-121 | | Y-12=3x | | 4+-2p=6 | | 3/2x-6x=1/4x+4 | | 7z+9z=128 | | 4+2x=-32 | | x-1=0,25x+x | | 1/6y=-1 | | 5∙a∙b+a+11∙a∙c | | x+5(12)=x+13 | | 13x-7-5x=6x+3+2x | | N^2-13n+12=0 | | 4t-t-7=2t-7 |

Equations solver categories