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

Simple and best practice solution for (x+2y+3)dx+(2x+4y-1)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+2y+3)dx+(2x+4y-1)dy=0 equation: 


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

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

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

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

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

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

Reorder the terms:
3dx + 2dxy + dx2 + (2dxy + -1dy + 4dy2) = 0
3dx + 2dxy + dx2 + (2dxy + -1dy + 4dy2) = 0

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

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

Solving
3dx + 4dxy + dx2 + -1dy + 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(3x + 4xy + x2 + -1y + 4y2) = 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 '(3x + 4xy + x2 + -1y + 4y2)' equal to zero and attempt to solve:

Simplifying
3x + 4xy + x2 + -1y + 4y2 = 0

Solving
3x + 4xy + x2 + -1y + 4y2 = 0

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

Add '-3x' to each side of the equation.
3x + 4xy + x2 + -1y + -3x + 4y2 = 0 + -3x

Reorder the terms:
3x + -3x + 4xy + x2 + -1y + 4y2 = 0 + -3x

Combine like terms: 3x + -3x = 0
0 + 4xy + x2 + -1y + 4y2 = 0 + -3x
4xy + x2 + -1y + 4y2 = 0 + -3x
Remove the zero:
4xy + x2 + -1y + 4y2 = -3x

Add '-4xy' to each side of the equation.
4xy + x2 + -1y + -4xy + 4y2 = -3x + -4xy

Reorder the terms:
4xy + -4xy + x2 + -1y + 4y2 = -3x + -4xy

Combine like terms: 4xy + -4xy = 0
0 + x2 + -1y + 4y2 = -3x + -4xy
x2 + -1y + 4y2 = -3x + -4xy

Add '-1x2' to each side of the equation.
x2 + -1y + -1x2 + 4y2 = -3x + -4xy + -1x2

Reorder the terms:
x2 + -1x2 + -1y + 4y2 = -3x + -4xy + -1x2

Combine like terms: x2 + -1x2 = 0
0 + -1y + 4y2 = -3x + -4xy + -1x2
-1y + 4y2 = -3x + -4xy + -1x2

Add 'y' to each side of the equation.
-1y + y + 4y2 = -3x + -4xy + -1x2 + y

Combine like terms: -1y + y = 0
0 + 4y2 = -3x + -4xy + -1x2 + y
4y2 = -3x + -4xy + -1x2 + y

Add '-4y2' to each side of the equation.
4y2 + -4y2 = -3x + -4xy + -1x2 + y + -4y2

Combine like terms: 4y2 + -4y2 = 0
0 = -3x + -4xy + -1x2 + y + -4y2

Simplifying
0 = -3x + -4xy + -1x2 + y + -4y2

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:

| 7x+8=8x+24 | | -7(2x-5)=-13x-(-11+2x) | | 4(2t-1)+3t=8-7 | | 8x(6-3)=4+5 | | 5v+-8-9v=28 | | 4(3x-6)=2(6x+2) | | 12-3+78=8x | | 2x-90=4x-16 | | 2y+7x=-3 | | (5x^2-x)(2x+1)=0 | | 3x-23=54x+354 | | 6x-5=50 | | 2km+m=10km | | x^2-7x+12=42 | | 6r-4r+4=7r-r | | y=0.3+1.8-2 | | 4x^2+40x-90=0 | | d-11=-[2d-7] | | 3(x+26)=1092 | | 5+2(5+3)+4s-5=148 | | -2n-40=3(6+8n) | | 10(x+3)-3(x+3)= | | 4-f=-1 | | -2x+4x=-8+19x | | 5y-7y=16 | | 48=3v-12 | | 24cos(3x)=12 | | y=2.5x+1.5 | | -y-y=-1 | | 8+6m=8m | | -6-3(7x+5)=2 | | 5h+2c(h+n)=-5 |

Equations solver categories