(x^2-y^2)dx+(x^2-2xy)=0

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


Simplifying
(x2 + -1y2) * dx + (x2 + -2xy) = 0

Reorder the terms for easier multiplication:
dx(x2 + -1y2) + (x2 + -2xy) = 0
(x2 * dx + -1y2 * dx) + (x2 + -2xy) = 0

Reorder the terms:
(-1dxy2 + dx3) + (x2 + -2xy) = 0
(-1dxy2 + dx3) + (x2 + -2xy) = 0

Reorder the terms:
-1dxy2 + dx3 + (-2xy + x2) = 0

Remove parenthesis around (-2xy + x2)
-1dxy2 + dx3 + -2xy + x2 = 0

Solving
-1dxy2 + dx3 + -2xy + x2 = 0

Solving for variable 'd'.

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

Add '2xy' to each side of the equation.
-1dxy2 + dx3 + -2xy + 2xy + x2 = 0 + 2xy

Combine like terms: -2xy + 2xy = 0
-1dxy2 + dx3 + 0 + x2 = 0 + 2xy
-1dxy2 + dx3 + x2 = 0 + 2xy
Remove the zero:
-1dxy2 + dx3 + x2 = 2xy

Add '-1x2' to each side of the equation.
-1dxy2 + dx3 + x2 + -1x2 = 2xy + -1x2

Combine like terms: x2 + -1x2 = 0
-1dxy2 + dx3 + 0 = 2xy + -1x2
-1dxy2 + dx3 = 2xy + -1x2

Reorder the terms:
-1dxy2 + dx3 + -2xy + x2 = 2xy + -2xy + -1x2 + x2

Combine like terms: 2xy + -2xy = 0
-1dxy2 + dx3 + -2xy + x2 = 0 + -1x2 + x2
-1dxy2 + dx3 + -2xy + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-1dxy2 + dx3 + -2xy + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1dy2 + dx2 + -2y + x) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing d to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x = 0 + -1x Remove the zero: 0 = -1x Simplifying 0 = -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-1dy2 + dx2 + -2y + x)' equal to zero and attempt to solve: Simplifying -1dy2 + dx2 + -2y + x = 0 Reorder the terms: dx2 + -1dy2 + x + -2y = 0 Solving dx2 + -1dy2 + x + -2y = 0 Move all terms containing d to the left, all other terms to the right. Add '-1x' to each side of the equation. dx2 + -1dy2 + x + -1x + -2y = 0 + -1x Combine like terms: x + -1x = 0 dx2 + -1dy2 + 0 + -2y = 0 + -1x dx2 + -1dy2 + -2y = 0 + -1x Remove the zero: dx2 + -1dy2 + -2y = -1x Add '2y' to each side of the equation. dx2 + -1dy2 + -2y + 2y = -1x + 2y Combine like terms: -2y + 2y = 0 dx2 + -1dy2 + 0 = -1x + 2y dx2 + -1dy2 = -1x + 2y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

See similar equations:

| 3x+11=-24-4x | | 2a(5a^2+3a-17)= | | 6x+9=-7-7x | | 4z+3z=-z-6-5z | | (-x)=2x+6 | | 4+35x=28x+6 | | (x+3)=2x+6 | | 10x-45=5(2x-13)+15 | | 7y-1=139 | | 1=2x+6 | | 2x+5/2-8+2=3 | | 4y-7x=75 | | -6x=64 | | -6y-8=2y+16 | | x^2-15x-34=-7x-1 | | x/9-2=x/7 | | 4x^2y+8xy^2= | | (5x-2+3y)+(4-3x)= | | 1500=600t | | 17w-12w= | | 15x^5y^8= | | 2/x=0.333333333333 | | -5y=3x+5 | | 8k=132 | | x*6+99=x*10-9 | | 12=6(4-a) | | (4-2x)/(3x-2)=0 | | 6+3(x-5)=2m+10 | | 9-(2y-9)=3-3y | | ((4-2x))/(3x-2)=0 | | 2x+-6=-4 | | 6x+(-5x+4)= |

Equations solver categories