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

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


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

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

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

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

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

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

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

Factor a trinomial.
d((x + -2y)(x + 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 + -2y)' equal to zero and attempt to solve:

Simplifying
x + -2y = 0

Solving
x + -2y = 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 + -2y = 0 + -1x

Combine like terms: x + -1x = 0
0 + -2y = 0 + -1x
-2y = 0 + -1x
Remove the zero:
-2y = -1x

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

Combine like terms: -2y + 2y = 0
0 = -1x + 2y

Simplifying
0 = -1x + 2y

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 '(x + y)' equal to zero and attempt to solve:

Simplifying
x + y = 0

Solving
x + y = 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 + y = 0 + -1x

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

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

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

Simplifying
0 = -1x + -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:

| 70=(2x+4)*x | | 8z+9-2z+6= | | x^3-x^2-2x+24=0 | | -36+6x=x+34 | | -5(10x+4)+7(2x+10)= | | 7(4a-3)-(2a+1)-9=2(a-9) | | 8(5-y)=84 | | =-3y-4y | | 0.75x^2-1=0 | | X/3-x/6=23 | | Q=100+-0.5p | | 5d+10=105 | | 11-6(6x-1)+3(2+3)=8-3x | | (1/6)-0.2 | | 3(2x+19)=-75 | | 6x+78+7x+24=18 | | 4c-4=32 | | 4(x-3)-15=(2x+7)-15x | | 6(10y+8)-2(4y+9)= | | -50x^2+98=0 | | X/8=x/9-4 | | 3b+6=27 | | 1/2(m-1)=14 | | .33(21x+24)-3=-.5(10x-16) | | 8+(-2)+(-7)= | | 20x-(6x-2)=72 | | Y-5/8=-1/4 | | 7k-2=5k+2 | | 8x-2y=125 | | 5-(3x+1)=4x-3 | | 6x+4+6x+4= | | 8x-15=9x+6 |

Equations solver categories