(3x-2y+1)dx-(2x+3y+4)dy=0

Simple and best practice solution for (3x-2y+1)dx-(2x+3y+4)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-(2x+3y+4)dy=0 equation: 


Simplifying
(3x + -2y + 1) * dx + -1(2x + 3y + 4) * dy = 0

Reorder the terms:
(1 + 3x + -2y) * dx + -1(2x + 3y + 4) * dy = 0

Reorder the terms for easier multiplication:
dx(1 + 3x + -2y) + -1(2x + 3y + 4) * dy = 0
(1 * dx + 3x * dx + -2y * dx) + -1(2x + 3y + 4) * dy = 0

Reorder the terms:
(1dx + -2dxy + 3dx2) + -1(2x + 3y + 4) * dy = 0
(1dx + -2dxy + 3dx2) + -1(2x + 3y + 4) * dy = 0

Reorder the terms:
1dx + -2dxy + 3dx2 + -1(4 + 2x + 3y) * dy = 0

Reorder the terms for easier multiplication:
1dx + -2dxy + 3dx2 + -1dy(4 + 2x + 3y) = 0
1dx + -2dxy + 3dx2 + (4 * -1dy + 2x * -1dy + 3y * -1dy) = 0

Reorder the terms:
1dx + -2dxy + 3dx2 + (-2dxy + -4dy + -3dy2) = 0
1dx + -2dxy + 3dx2 + (-2dxy + -4dy + -3dy2) = 0

Reorder the terms:
1dx + -2dxy + -2dxy + 3dx2 + -4dy + -3dy2 = 0

Combine like terms: -2dxy + -2dxy = -4dxy
1dx + -4dxy + 3dx2 + -4dy + -3dy2 = 0

Solving
1dx + -4dxy + 3dx2 + -4dy + -3dy2 = 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 + -4xy + 3x2 + -4y + -3y2) = 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 + -4xy + 3x2 + -4y + -3y2)' equal to zero and attempt to solve:

Simplifying
x + -4xy + 3x2 + -4y + -3y2 = 0

Solving
x + -4xy + 3x2 + -4y + -3y2 = 0

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

Add '-1x' to each side of the equation.
x + -4xy + 3x2 + -4y + -1x + -3y2 = 0 + -1x

Reorder the terms:
x + -1x + -4xy + 3x2 + -4y + -3y2 = 0 + -1x

Combine like terms: x + -1x = 0
0 + -4xy + 3x2 + -4y + -3y2 = 0 + -1x
-4xy + 3x2 + -4y + -3y2 = 0 + -1x
Remove the zero:
-4xy + 3x2 + -4y + -3y2 = -1x

Add '4xy' to each side of the equation.
-4xy + 3x2 + -4y + 4xy + -3y2 = -1x + 4xy

Reorder the terms:
-4xy + 4xy + 3x2 + -4y + -3y2 = -1x + 4xy

Combine like terms: -4xy + 4xy = 0
0 + 3x2 + -4y + -3y2 = -1x + 4xy
3x2 + -4y + -3y2 = -1x + 4xy

Add '-3x2' to each side of the equation.
3x2 + -4y + -3x2 + -3y2 = -1x + 4xy + -3x2

Reorder the terms:
3x2 + -3x2 + -4y + -3y2 = -1x + 4xy + -3x2

Combine like terms: 3x2 + -3x2 = 0
0 + -4y + -3y2 = -1x + 4xy + -3x2
-4y + -3y2 = -1x + 4xy + -3x2

Add '4y' to each side of the equation.
-4y + 4y + -3y2 = -1x + 4xy + -3x2 + 4y

Combine like terms: -4y + 4y = 0
0 + -3y2 = -1x + 4xy + -3x2 + 4y
-3y2 = -1x + 4xy + -3x2 + 4y

Add '3y2' to each side of the equation.
-3y2 + 3y2 = -1x + 4xy + -3x2 + 4y + 3y2

Combine like terms: -3y2 + 3y2 = 0
0 = -1x + 4xy + -3x2 + 4y + 3y2

Simplifying
0 = -1x + 4xy + -3x2 + 4y + 3y2

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:

| 6x+10y=18x+6y | | 12x-(9x-2)=17 | | 8y+5= | | 45-40= | | 9(x+4)=3(x+22) | | -45+5= | | 3*(x-1)+2-(x+6)=0 | | 45-5= | | 2m-20=1+5m | | 20-18= | | 8x-24=-15+9x | | 4(x-3)=38-6x | | -3x+8x= | | 1.1x+0.31x=0.6 | | 3x-2=86-8x | | 1.1x+0.31x=0.6x | | 2x+8x=25 | | 50=34-2(x-3) | | 5x^2+40x=340 | | 14x+550=606 | | (5x^2+2x+1)+(x^2-3x-5)= | | 8(x+1)-3(5-2x)=6-2(x-1) | | 2f-4f= | | 7k+6k= | | 1n-9n= | | 732.65=.12y | | 3u+24=6(u+3) | | 3-5s-2= | | 6(u+3)=-6u+30 | | (7x^2-4x)+(3x^2-2)= | | (4x-3)+(5-2x)= | | -24=2(u-2)+8u |

Equations solver categories