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

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


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

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

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

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

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

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

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

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

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

Solving
3dx + dx2 + -3dy + -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 + x2 + -3y + -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 + x2 + -3y + -4y2)' equal to zero and attempt to solve:

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

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

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

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

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

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

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

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

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

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

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

Simplifying
0 = -3x + -1x2 + 3y + 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:

| (x-2y+3)dx+(2x-4y-3)DH=0 | | -3=3+m | | Z+4=-15 | | 2cos^2x-cosx=3 | | 3x-(x-6)=5(x-3) | | Log[2](7x+3)=3 | | (8x)+(1.5x(4))=150 | | -13(d+1)=-165 | | 10000+x=1.85x | | 4x-3y=f(5) | | 3(x-10)=15 | | 5000+x=1.36x | | 10000+5000+x=1.36x | | 1000+5000+x=1.6x | | (x-x*y)=z | | -(1-r)-1= | | 48+8n-20n+12=0 | | (x-x*0.12)=y | | x=y+y*0.12 | | -4n+4(2n-7)= | | 2b-18=5b+9 | | 27m-1/7=3/14 | | (x-(x*0.12))/x=40 | | (x-(x*.12)/x=40 | | -7(3a-2b-8)= | | (x-29.12-(x*0.12))/x=0.46 | | 25+25+x=1.5x | | 25+25+x=1.55x | | 46+25+x=1.5x | | 23+25+x=1.5x | | .25x+.125x+(.125x+348)=x | | .25x+.125x+(.125x+48)=x |

Equations solver categories