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

Simple and best practice solution for (2x+y-3)dy+(2x+y-1)dx=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+y-3)dy+(2x+y-1)dx=0 equation: 


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

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

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

Reorder the terms:
(2dxy + -3dy + dy2) + (2x + y + -1) * dx = 0
(2dxy + -3dy + dy2) + (2x + y + -1) * dx = 0

Reorder the terms:
2dxy + -3dy + dy2 + (-1 + 2x + y) * dx = 0

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

Reorder the terms:
2dxy + -3dy + dy2 + (-1dx + dxy + 2dx2) = 0
2dxy + -3dy + dy2 + (-1dx + dxy + 2dx2) = 0

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

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

Solving
-1dx + 3dxy + 2dx2 + -3dy + dy2 = 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(-1x + 3xy + 2x2 + -3y + y2) = 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 '(-1x + 3xy + 2x2 + -3y + y2)' equal to zero and attempt to solve:

Simplifying
-1x + 3xy + 2x2 + -3y + y2 = 0

Solving
-1x + 3xy + 2x2 + -3y + y2 = 0

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

Add 'x' to each side of the equation.
-1x + 3xy + 2x2 + -3y + x + y2 = 0 + x

Reorder the terms:
-1x + x + 3xy + 2x2 + -3y + y2 = 0 + x

Combine like terms: -1x + x = 0
0 + 3xy + 2x2 + -3y + y2 = 0 + x
3xy + 2x2 + -3y + y2 = 0 + x
Remove the zero:
3xy + 2x2 + -3y + y2 = x

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

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

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

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

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

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

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

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

Add '-1y2' to each side of the equation.
y2 + -1y2 = x + -3xy + -2x2 + 3y + -1y2

Combine like terms: y2 + -1y2 = 0
0 = x + -3xy + -2x2 + 3y + -1y2

Simplifying
0 = x + -3xy + -2x2 + 3y + -1y2

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:

| h/10+3=6 | | 32-x=16 | | 9p+3=3(-p+9)-(-4-10p) | | 2k=10 | | 7x-3+2x=24 | | P^2-10p+9=0 | | -3x-7=-3-2x | | 2ln(x)=5 | | 30-5t=t | | -2(-4x-3)=9(x-8) | | 7y+7=4(y+9) | | =2x^2+7x+3 | | -y+15=13+7y | | 2a+z=14x | | 18+6x=7x+9 | | 3x=(7-8x)-2 | | 7c+12= | | 18h=684 | | 3p-44=8+2p | | 32=-3y-1 | | 24d=120 | | 3(x+4)=42 | | 1/24=d/120 | | 12=u-v | | 5x-3=15-33 | | 7+5x=4x+3+1 | | -22+7x=55 | | 2.6+10m=7.97 | | -12+3x=5x-2 | | 2y+13=8+4 | | 4/11=x/20 | | =x^2-14x-72 |

Equations solver categories