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

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


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

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

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

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

Reorder the terms for easier multiplication:
3dxy + 2dx2 + dy(-1x + y) = 0
3dxy + 2dx2 + (-1x * dy + y * dy) = 0
3dxy + 2dx2 + (-1dxy + dy2) = 0

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

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

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

Simplifying
2xy + 2x2 + y2 = 0

Solving
2xy + 2x2 + y2 = 0

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

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

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

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

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

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

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

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

Simplifying
0 = -2xy + -2x2 + -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:

| .3x=15 | | 7n+n=8 | | x/7-4=0 | | 7y+7(y+3)=-12 | | 12n-8n-6=63 | | x-.3=15 | | 10v^2=18v+3 | | 3a-5=2(a+1)+a | | -2k-8-7=-k-8 | | 3y^2-5xy+2x^2= | | 8(-5)-(-2)= | | 3(x-4)=4(2.5+x) | | 3x^2-5xy+2x^2= | | 6(2p+4)-8=8p+32 | | 36x^2=24 | | 12(4x-9)=4(12x+3) | | 5x=3+3 | | 7k-22=5k-6 | | 5-(-216)= | | y/2=-13 | | 2(12+x)=2x+24 | | 6/5+3/5x=27/10+3/2x+1/2 | | 8r-5r+3=7r-r | | -8x+8=28-10x | | 24+3x=3x+18 | | 3x^2-x-30= | | -5x+2=17-10x | | 7/2+3y=8y-1/2 | | 5=-s/7 | | 8x^3+36x^2+2x+9=0 | | 10a=-10 | | 8t^3+36t^2+2t+9=0 |

Equations solver categories