(3x-2y+1)dx+(3x-2y-3)dy=0

Simple and best practice solution for (3x-2y+1)dx+(3x-2y-3)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 (3x-2y+1)dx+(3x-2y-3)dy=0 equation: 


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

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

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

Reorder the terms:
(1dx + -2dxy + 3dx2) + (3x + -2y + -3) * dy = 0
(1dx + -2dxy + 3dx2) + (3x + -2y + -3) * dy = 0

Reorder the terms:
1dx + -2dxy + 3dx2 + (-3 + 3x + -2y) * dy = 0

Reorder the terms for easier multiplication:
1dx + -2dxy + 3dx2 + dy(-3 + 3x + -2y) = 0
1dx + -2dxy + 3dx2 + (-3 * dy + 3x * dy + -2y * dy) = 0

Reorder the terms:
1dx + -2dxy + 3dx2 + (3dxy + -3dy + -2dy2) = 0
1dx + -2dxy + 3dx2 + (3dxy + -3dy + -2dy2) = 0

Reorder the terms:
1dx + -2dxy + 3dxy + 3dx2 + -3dy + -2dy2 = 0

Combine like terms: -2dxy + 3dxy = 1dxy
1dx + 1dxy + 3dx2 + -3dy + -2dy2 = 0

Solving
1dx + 1dxy + 3dx2 + -3dy + -2dy2 = 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(x + xy + 3x2 + -3y + -2y2) = 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 '(x + xy + 3x2 + -3y + -2y2)' equal to zero and attempt to solve:

Simplifying
x + xy + 3x2 + -3y + -2y2 = 0

Solving
x + xy + 3x2 + -3y + -2y2 = 0

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

Add '-1x' to each side of the equation.
x + xy + 3x2 + -3y + -1x + -2y2 = 0 + -1x

Reorder the terms:
x + -1x + xy + 3x2 + -3y + -2y2 = 0 + -1x

Combine like terms: x + -1x = 0
0 + xy + 3x2 + -3y + -2y2 = 0 + -1x
xy + 3x2 + -3y + -2y2 = 0 + -1x
Remove the zero:
xy + 3x2 + -3y + -2y2 = -1x

Add '-1xy' to each side of the equation.
xy + 3x2 + -3y + -1xy + -2y2 = -1x + -1xy

Reorder the terms:
xy + -1xy + 3x2 + -3y + -2y2 = -1x + -1xy

Combine like terms: xy + -1xy = 0
0 + 3x2 + -3y + -2y2 = -1x + -1xy
3x2 + -3y + -2y2 = -1x + -1xy

Add '-3x2' to each side of the equation.
3x2 + -3y + -3x2 + -2y2 = -1x + -1xy + -3x2

Reorder the terms:
3x2 + -3x2 + -3y + -2y2 = -1x + -1xy + -3x2

Combine like terms: 3x2 + -3x2 = 0
0 + -3y + -2y2 = -1x + -1xy + -3x2
-3y + -2y2 = -1x + -1xy + -3x2

Add '3y' to each side of the equation.
-3y + 3y + -2y2 = -1x + -1xy + -3x2 + 3y

Combine like terms: -3y + 3y = 0
0 + -2y2 = -1x + -1xy + -3x2 + 3y
-2y2 = -1x + -1xy + -3x2 + 3y

Add '2y2' to each side of the equation.
-2y2 + 2y2 = -1x + -1xy + -3x2 + 3y + 2y2

Combine like terms: -2y2 + 2y2 = 0
0 = -1x + -1xy + -3x2 + 3y + 2y2

Simplifying
0 = -1x + -1xy + -3x2 + 3y + 2y2

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:

| 54=4(5+s) | | m+3=26 | | -2(5x-7)+12x=9x | | 2x^3+24x^2+90x+100=0 | | 6u+4v-5(6u-2v+4w)= | | 5x-4x+6=14 | | (5h-3j+8k)-3(-5h+5j-5k)= | | 4(2x-3)=15-x | | 5m+2=2m+11 | | 3(4b+-2)=-6+12b | | 3(4x-5)=12x-15 | | 5r+4s-3(7r-6s)= | | -12+24+15+(-8)+10= | | 3x+8x-(6x+6)= | | 4(2s-2)=0 | | 77z-(36z-48)= | | 10x+12+6x+20= | | 10x=3.333 | | 8x-(2x-5)= | | -1(2x-2)=8 | | 6(2x+1)=15x | | 9+5*12-5= | | 3c+4d-7(5c-5d)= | | 6u+36=-3(u+9) | | 4(5x-2)=24x | | 12x=28+47 | | 1-3y+4y=5 | | 7x=25+7x | | 6(2x+5)=126 | | 7xy-9-(4wy)= | | 18-3x=-5 | | 72=-36 |

Equations solver categories