(6x-4y+8)dx+(2x+3y-6)dy=0

Simple and best practice solution for (6x-4y+8)dx+(2x+3y-6)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-4y+8)dx+(2x+3y-6)dy=0 equation: 


Simplifying
(6x + -4y + 8) * dx + (2x + 3y + -6) * dy = 0

Reorder the terms:
(8 + 6x + -4y) * dx + (2x + 3y + -6) * dy = 0

Reorder the terms for easier multiplication:
dx(8 + 6x + -4y) + (2x + 3y + -6) * dy = 0
(8 * dx + 6x * dx + -4y * dx) + (2x + 3y + -6) * dy = 0

Reorder the terms:
(8dx + -4dxy + 6dx2) + (2x + 3y + -6) * dy = 0
(8dx + -4dxy + 6dx2) + (2x + 3y + -6) * dy = 0

Reorder the terms:
8dx + -4dxy + 6dx2 + (-6 + 2x + 3y) * dy = 0

Reorder the terms for easier multiplication:
8dx + -4dxy + 6dx2 + dy(-6 + 2x + 3y) = 0
8dx + -4dxy + 6dx2 + (-6 * dy + 2x * dy + 3y * dy) = 0

Reorder the terms:
8dx + -4dxy + 6dx2 + (2dxy + -6dy + 3dy2) = 0
8dx + -4dxy + 6dx2 + (2dxy + -6dy + 3dy2) = 0

Reorder the terms:
8dx + -4dxy + 2dxy + 6dx2 + -6dy + 3dy2 = 0

Combine like terms: -4dxy + 2dxy = -2dxy
8dx + -2dxy + 6dx2 + -6dy + 3dy2 = 0

Solving
8dx + -2dxy + 6dx2 + -6dy + 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(8x + -2xy + 6x2 + -6y + 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 '(8x + -2xy + 6x2 + -6y + 3y2)' equal to zero and attempt to solve:

Simplifying
8x + -2xy + 6x2 + -6y + 3y2 = 0

Solving
8x + -2xy + 6x2 + -6y + 3y2 = 0

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

Add '-8x' to each side of the equation.
8x + -2xy + 6x2 + -6y + -8x + 3y2 = 0 + -8x

Reorder the terms:
8x + -8x + -2xy + 6x2 + -6y + 3y2 = 0 + -8x

Combine like terms: 8x + -8x = 0
0 + -2xy + 6x2 + -6y + 3y2 = 0 + -8x
-2xy + 6x2 + -6y + 3y2 = 0 + -8x
Remove the zero:
-2xy + 6x2 + -6y + 3y2 = -8x

Add '2xy' to each side of the equation.
-2xy + 6x2 + -6y + 2xy + 3y2 = -8x + 2xy

Reorder the terms:
-2xy + 2xy + 6x2 + -6y + 3y2 = -8x + 2xy

Combine like terms: -2xy + 2xy = 0
0 + 6x2 + -6y + 3y2 = -8x + 2xy
6x2 + -6y + 3y2 = -8x + 2xy

Add '-6x2' to each side of the equation.
6x2 + -6y + -6x2 + 3y2 = -8x + 2xy + -6x2

Reorder the terms:
6x2 + -6x2 + -6y + 3y2 = -8x + 2xy + -6x2

Combine like terms: 6x2 + -6x2 = 0
0 + -6y + 3y2 = -8x + 2xy + -6x2
-6y + 3y2 = -8x + 2xy + -6x2

Add '6y' to each side of the equation.
-6y + 6y + 3y2 = -8x + 2xy + -6x2 + 6y

Combine like terms: -6y + 6y = 0
0 + 3y2 = -8x + 2xy + -6x2 + 6y
3y2 = -8x + 2xy + -6x2 + 6y

Add '-3y2' to each side of the equation.
3y2 + -3y2 = -8x + 2xy + -6x2 + 6y + -3y2

Combine like terms: 3y2 + -3y2 = 0
0 = -8x + 2xy + -6x2 + 6y + -3y2

Simplifying
0 = -8x + 2xy + -6x2 + 6y + -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:

| 0=t^2-6t+9 | | 4x-(8-6x)=0 | | 2x+5=-14-x | | 9x-15=2x+11 | | 0=3y+88+5y | | Y=3y-18 | | 2x+2y+ix=4i | | c(c-5)-24=0 | | 2+3x=x-6 | | s^2-s-36-4s=0 | | 5h-4=26-b | | 3x-4=-5x+2 | | -3(x+1)-2=7 | | 5b+8=6b+7 | | 4(x+9y)+2(2x+y)= | | y=12x^3+16x^2+3x+4 | | 7t^2-7t-84=0 | | 10x^2-180x+800=0 | | x^3+6x^2+36x-756=0 | | (-2*-2*-2)(-x-4)-2-3*3=-2(x-4)-x | | 2y+3(2y+8x)-3x(8y+2x)= | | y^3+8y=6 | | 91=5+2(-6x+1) | | logb^729=18 | | 2x^3+5=0 | | (x+35)+(x+15)+x=110 | | 10m-4=8m+6 | | 3x^2+3x=110 | | -(2x-3)=3 | | 5x-6=8x+2 | | x+2x+(x+10)=210 | | 3n-n=8-6 |

Equations solver categories