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

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


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

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

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

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

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

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

Solving
dx2 + -4dy2 = 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(x2 + -4y2) = 0

Factor a difference between two squares.
d((x + 2y)(x + -2y)) = 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 + -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.
Solution
d = {0}

See similar equations:

| 0.666666666666667(12-x)=4 | | y=-10-2y-3 | | 7r-(s+2r)-4s= | | 6ln(5x+2)=10 | | (-1,3)= | | -5+5x=6x-10 | | 6y=-4x+5 | | 4x-7(2x-4)=8 | | -2m+7m=-10 | | .-4.8=-4(2.4d) | | x-(2x+6)=-4 | | 8x+4y-(4x-5y)= | | x+-4=-1 | | 18-3*2= | | -3(8y-5)=4(1-7y)+13 | | 2y+5y+4=25 | | X^2+8x+150=0 | | 0.25t+2.50= | | 21=-5-3m+2 | | -4/5y=-12 | | -2(x+2)=4x+20 | | 8a-8.2=7a+3.8 | | T=C+S+Hsolveh | | 8d-11+3d+2=13 | | 6x-23= | | 6y+3=7y+5 | | 3(c+5)=32 | | 7c-16=-48+3c | | ln(7x^2+1)-3ln(x)=ln(8) | | 4t-15=-10+9t | | 42-3y=33-y | | 2x+2x+7=23 |

Equations solver categories