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

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


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

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

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

Reorder the terms for easier multiplication:
-4dxy + 3dx2 + dy(2x + -1y) = 0
-4dxy + 3dx2 + (2x * dy + -1y * dy) = 0
-4dxy + 3dx2 + (2dxy + -1dy2) = 0

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

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

Solving
-2dxy + 3dx2 + -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(-2xy + 3x2 + -1y2) = 0

Factor a trinomial.
d((x + -1y)(3x + y)) = 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 + -1y)' equal to zero and attempt to solve:

Simplifying
x + -1y = 0

Solving
x + -1y = 0

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

Add '-1x' to each side of the equation.
x + -1x + -1y = 0 + -1x

Combine like terms: x + -1x = 0
0 + -1y = 0 + -1x
-1y = 0 + -1x
Remove the zero:
-1y = -1x

Add 'y' to each side of the equation.
-1y + y = -1x + y

Combine like terms: -1y + y = 0
0 = -1x + y

Simplifying
0 = -1x + y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(3x + y)' equal to zero and attempt to solve:

Simplifying
3x + y = 0

Solving
3x + y = 0

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

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

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

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

Combine like terms: y + -1y = 0
0 = -3x + -1y

Simplifying
0 = -3x + -1y

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:

| 1-(100/10^2)=0 | | -1-10=-4 | | 2(r*r)-5r-12=0 | | 8x+5-x+7=9x+10-6 | | 2cosx+cos^2x=-1 | | 3x^3-6x^2-300x+1800=0 | | 7/2;(0,-4) | | 3x^3-6x^2-300x+1800=120000 | | 0=-16t^2+8+360 | | 2sqrt(3x-1)+5=12 | | h(t)=20-16x^2+32x | | 15g-10= | | 3log(x-4)=4 | | 4/3(3.14)(125) | | 4.9t^2+2t+350=0 | | h=-16T^2+8t+360 | | 3log(x-2)=6 | | 2x-9=10-x | | r-14=77 | | 2x^2-6x=400 | | p-216=243 | | 3(r*r)-8r-16=0 | | d-39=56 | | s-49=28 | | (b^12c^2/b^-3c^-4)^-1/3 | | d-67=16 | | 10y+1x=180 | | a-29=37 | | X^2+4x+690=0 | | y-49=36 | | N^2+2=123 | | (2m+3)(4m-3)=0 |

Equations solver categories