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

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


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

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

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

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

Reorder the terms for easier multiplication:
-3dxy + dx2 + dy(-3x + 2y) = 0
-3dxy + dx2 + (-3x * dy + 2y * dy) = 0
-3dxy + dx2 + (-3dxy + 2dy2) = 0

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

Combine like terms: -3dxy + -3dxy = -6dxy
-6dxy + dx2 + 2dy2 = 0

Solving
-6dxy + dx2 + 2dy2 = 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(-6xy + x2 + 2y2) = 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 '(-6xy + x2 + 2y2)' equal to zero and attempt to solve:

Simplifying
-6xy + x2 + 2y2 = 0

Solving
-6xy + x2 + 2y2 = 0

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

Add '6xy' to each side of the equation.
-6xy + x2 + 6xy + 2y2 = 0 + 6xy

Reorder the terms:
-6xy + 6xy + x2 + 2y2 = 0 + 6xy

Combine like terms: -6xy + 6xy = 0
0 + x2 + 2y2 = 0 + 6xy
x2 + 2y2 = 0 + 6xy
Remove the zero:
x2 + 2y2 = 6xy

Add '-1x2' to each side of the equation.
x2 + -1x2 + 2y2 = 6xy + -1x2

Combine like terms: x2 + -1x2 = 0
0 + 2y2 = 6xy + -1x2
2y2 = 6xy + -1x2

Add '-2y2' to each side of the equation.
2y2 + -2y2 = 6xy + -1x2 + -2y2

Combine like terms: 2y2 + -2y2 = 0
0 = 6xy + -1x2 + -2y2

Simplifying
0 = 6xy + -1x2 + -2y2

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:

| -5x+7=-3x-9 | | X+(x+8)+(x+18)=62 | | -9(t-3)-(t+6)=5 | | -12+x=-6 | | 3(5x-1)-1=12x+2 | | 12-7x=3x+22 | | 5x-4=125x^3-100x^2 | | -10+w=14 | | -14x^2=0 | | 5x-x^2=2 | | 6w=9w^3-3w^2 | | F-3=-12 | | -5(x+7)-43=2-40 | | x^3-10x+100=0 | | log(2x-1)-logx=2 | | 2x(9x+5)= | | -x-4+2=3x+8 | | 2(3x+2)=2x-8+x | | 3sint=2cos^2t | | -7(1+r)+5r=5 | | 2x+2-8x=2(x+9) | | -12x^2+x+35=0 | | 2.5/38=x/60 | | (6m-9)(5m+7)= | | 6(3+2y)=5y-3 | | 2.5/30=x/60 | | 11m-3=5+3m | | .89514/.65= | | 3w+11(1-w)=7 | | -x+5+4x=23 | | 3x-1-6x=-10 | | sin(2x-30)=cos(3x+10) |

Equations solver categories