(6x-3y+2)dx-(y-2x+1)dy=0

Simple and best practice solution for (6x-3y+2)dx-(y-2x+1)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 (6x-3y+2)dx-(y-2x+1)dy=0 equation: 


Simplifying
(6x + -3y + 2) * dx + -1(y + -2x + 1) * dy = 0

Reorder the terms:
(2 + 6x + -3y) * dx + -1(y + -2x + 1) * dy = 0

Reorder the terms for easier multiplication:
dx(2 + 6x + -3y) + -1(y + -2x + 1) * dy = 0
(2 * dx + 6x * dx + -3y * dx) + -1(y + -2x + 1) * dy = 0

Reorder the terms:
(2dx + -3dxy + 6dx2) + -1(y + -2x + 1) * dy = 0
(2dx + -3dxy + 6dx2) + -1(y + -2x + 1) * dy = 0

Reorder the terms:
2dx + -3dxy + 6dx2 + -1(1 + -2x + y) * dy = 0

Reorder the terms for easier multiplication:
2dx + -3dxy + 6dx2 + -1dy(1 + -2x + y) = 0
2dx + -3dxy + 6dx2 + (1 * -1dy + -2x * -1dy + y * -1dy) = 0

Reorder the terms:
2dx + -3dxy + 6dx2 + (2dxy + -1dy + -1dy2) = 0
2dx + -3dxy + 6dx2 + (2dxy + -1dy + -1dy2) = 0

Reorder the terms:
2dx + -3dxy + 2dxy + 6dx2 + -1dy + -1dy2 = 0

Combine like terms: -3dxy + 2dxy = -1dxy
2dx + -1dxy + 6dx2 + -1dy + -1dy2 = 0

Solving
2dx + -1dxy + 6dx2 + -1dy + -1dy2 = 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 + -1xy + 6x2 + -1y + -1y2) = 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 + -1xy + 6x2 + -1y + -1y2)' equal to zero and attempt to solve:

Simplifying
2x + -1xy + 6x2 + -1y + -1y2 = 0

Solving
2x + -1xy + 6x2 + -1y + -1y2 = 0

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

Add '-2x' to each side of the equation.
2x + -1xy + 6x2 + -1y + -2x + -1y2 = 0 + -2x

Reorder the terms:
2x + -2x + -1xy + 6x2 + -1y + -1y2 = 0 + -2x

Combine like terms: 2x + -2x = 0
0 + -1xy + 6x2 + -1y + -1y2 = 0 + -2x
-1xy + 6x2 + -1y + -1y2 = 0 + -2x
Remove the zero:
-1xy + 6x2 + -1y + -1y2 = -2x

Add 'xy' to each side of the equation.
-1xy + 6x2 + -1y + xy + -1y2 = -2x + xy

Reorder the terms:
-1xy + xy + 6x2 + -1y + -1y2 = -2x + xy

Combine like terms: -1xy + xy = 0
0 + 6x2 + -1y + -1y2 = -2x + xy
6x2 + -1y + -1y2 = -2x + xy

Add '-6x2' to each side of the equation.
6x2 + -1y + -6x2 + -1y2 = -2x + xy + -6x2

Reorder the terms:
6x2 + -6x2 + -1y + -1y2 = -2x + xy + -6x2

Combine like terms: 6x2 + -6x2 = 0
0 + -1y + -1y2 = -2x + xy + -6x2
-1y + -1y2 = -2x + xy + -6x2

Add 'y' to each side of the equation.
-1y + y + -1y2 = -2x + xy + -6x2 + y

Combine like terms: -1y + y = 0
0 + -1y2 = -2x + xy + -6x2 + y
-1y2 = -2x + xy + -6x2 + y

Add 'y2' to each side of the equation.
-1y2 + y2 = -2x + xy + -6x2 + y + y2

Combine like terms: -1y2 + y2 = 0
0 = -2x + xy + -6x2 + y + y2

Simplifying
0 = -2x + xy + -6x2 + y + y2

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:

| x^4+47x^2-98=0 | | .15(w+2)=0.3+0.2w | | x^2+4x-31=0 | | 7-4.9t=15t+7.6t | | 18p+6=24p-42 | | 5x+5y+30z=0 | | -15=5x+1 | | 6x-12=-2x+8 | | 3(2x+1)=4 | | 28x^5+22x^3+15x^2= | | 3w+5x-15y+7w+7x+9y= | | sinx=.4 | | 4x+3x^2=14 | | 2x+64-100=0 | | 16=a(a)+-6a | | Lny=2.8 | | 2.8=lnX | | -2xy^3(3y^6+6x^4-8)= | | 9x+10y=1 | | 3+2ln(x)=5 | | n-1=4n-7 | | n/9=6-n | | 45x^2-3=-7 | | 25x=y+5 | | 10y^2-17y-20=0 | | x+0.20x=549.60 | | 2cos(x)+sqrt(2)=0 | | x^3-5x^2+3x-1=0 | | 35-7p=0 | | 9n+2m= | | -2*log(5)x-19=-23 | | -5(-x)= |

Equations solver categories