(2x-5)dx+(4x-y)dy=0

Simple and best practice solution for (2x-5)dx+(4x-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 (2x-5)dx+(4x-y)dy=0 equation: 


Simplifying
(2x + -5) * dx + (4x + -1y) * dy = 0

Reorder the terms:
(-5 + 2x) * dx + (4x + -1y) * dy = 0

Reorder the terms for easier multiplication:
dx(-5 + 2x) + (4x + -1y) * dy = 0
(-5 * dx + 2x * dx) + (4x + -1y) * dy = 0
(-5dx + 2dx2) + (4x + -1y) * dy = 0

Reorder the terms for easier multiplication:
-5dx + 2dx2 + dy(4x + -1y) = 0
-5dx + 2dx2 + (4x * dy + -1y * dy) = 0
-5dx + 2dx2 + (4dxy + -1dy2) = 0

Reorder the terms:
-5dx + 4dxy + 2dx2 + -1dy2 = 0

Solving
-5dx + 4dxy + 2dx2 + -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(-5x + 4xy + 2x2 + -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 '(-5x + 4xy + 2x2 + -1y2)' equal to zero and attempt to solve:

Simplifying
-5x + 4xy + 2x2 + -1y2 = 0

Solving
-5x + 4xy + 2x2 + -1y2 = 0

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

Add '5x' to each side of the equation.
-5x + 4xy + 2x2 + 5x + -1y2 = 0 + 5x

Reorder the terms:
-5x + 5x + 4xy + 2x2 + -1y2 = 0 + 5x

Combine like terms: -5x + 5x = 0
0 + 4xy + 2x2 + -1y2 = 0 + 5x
4xy + 2x2 + -1y2 = 0 + 5x
Remove the zero:
4xy + 2x2 + -1y2 = 5x

Add '-4xy' to each side of the equation.
4xy + 2x2 + -4xy + -1y2 = 5x + -4xy

Reorder the terms:
4xy + -4xy + 2x2 + -1y2 = 5x + -4xy

Combine like terms: 4xy + -4xy = 0
0 + 2x2 + -1y2 = 5x + -4xy
2x2 + -1y2 = 5x + -4xy

Add '-2x2' to each side of the equation.
2x2 + -2x2 + -1y2 = 5x + -4xy + -2x2

Combine like terms: 2x2 + -2x2 = 0
0 + -1y2 = 5x + -4xy + -2x2
-1y2 = 5x + -4xy + -2x2

Add 'y2' to each side of the equation.
-1y2 + y2 = 5x + -4xy + -2x2 + y2

Combine like terms: -1y2 + y2 = 0
0 = 5x + -4xy + -2x2 + y2

Simplifying
0 = 5x + -4xy + -2x2 + 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:

| 29+x=1.5x | | 9u+9=3(u+5) | | 51=7(-1+2v)2 | | cos(68)=x/10.3 | | 8x^2+14-22= | | 5x+2(2x+5)=37 | | 294b^2-150= | | 105b^2+10ab-24a^2b= | | x^2+20x-12000=0 | | x-(-3x+8)=4 | | 15/3-4i | | 100x=15 | | 5(x-17)=-2(x+14) | | 10x-x=14 | | 100x-10x=108 | | 100x-10x=11 | | 7a+23=3 | | x(5x^2+10x-15)=0 | | y=px+a | | y=px | | 0=6x^2+10x-16 | | 6(5x+2)=36x+10-2(3x-6) | | 13-3y+3y=15 | | 4(x)2=100 | | 16x+11y=120 | | (1-7z)(5)= | | (x+0.34)(x+.23)=2 | | X^4+116x^2+1600=0 | | -3x+3y-12=0 | | (-4-3b)(-8)= | | 8x-4=7x-9 | | 2(4x+7)=-47+53 |

Equations solver categories