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

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


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

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

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

Reorder the terms:
(dxy + -2dy) + (y + -3) * dx = 0
(dxy + -2dy) + (y + -3) * dx = 0

Reorder the terms:
dxy + -2dy + (-3 + y) * dx = 0

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

Reorder the terms:
-3dx + dxy + dxy + -2dy = 0

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

Solving
-3dx + 2dxy + -2dy = 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(-3x + 2xy + -2y) = 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 '(-3x + 2xy + -2y)' equal to zero and attempt to solve:

Simplifying
-3x + 2xy + -2y = 0

Solving
-3x + 2xy + -2y = 0

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

Add '3x' to each side of the equation.
-3x + 2xy + 3x + -2y = 0 + 3x

Reorder the terms:
-3x + 3x + 2xy + -2y = 0 + 3x

Combine like terms: -3x + 3x = 0
0 + 2xy + -2y = 0 + 3x
2xy + -2y = 0 + 3x
Remove the zero:
2xy + -2y = 3x

Add '-2xy' to each side of the equation.
2xy + -2xy + -2y = 3x + -2xy

Combine like terms: 2xy + -2xy = 0
0 + -2y = 3x + -2xy
-2y = 3x + -2xy

Add '2y' to each side of the equation.
-2y + 2y = 3x + -2xy + 2y

Combine like terms: -2y + 2y = 0
0 = 3x + -2xy + 2y

Simplifying
0 = 3x + -2xy + 2y

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:

| 118/8+1x=11/7+1x | | 4x-2=1/2x+5 | | 8.46=w^2-0.54 | | -126-7x=9x+15 | | 2x=10x-30 | | 6x^5-15x^4+10x^3=0.5 | | 77=11(x+2) | | 110+8x=11+7x | | x/8-8=-3 | | 4(x+2)-8=2(x+2)+12 | | cotx=2tanx | | 2q^2+6q=0 | | 5r-9=3x+11 | | 0.6(25x-7.5x)+9.5=20 | | 2m^2-10m=0 | | 15-(2x+3)=8.2 | | -3(4(-8.5)+3)=43-6(-8.5)-1 | | 2d+5-23=d | | F(x)=2x^2+14x+1 | | -3(4(-8.5)+3)=43+6(-8.5)-1 | | 4x^6250=-10 | | 0.2(X)=7898 | | 4y^2+16y=9 | | -3(4(8.5)+3)=43-6(8.5)-1 | | -4x+1=1+4x | | -4x+1=21+20x | | -4x+1=9+20x | | -4x+1=9+24x | | 6+10x=6+x | | 5320-38x+9x^2=0 | | x^12=0.1875 | | -4x+1=9+2x |

Equations solver categories