x^2-2*xy-8*y^2=0

Simple and best practice solution for x^2-2*xy-8*y^2=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^2-2*xy-8*y^2=0 equation: 


Simplifying
x2 + -2xy + -8y2 = 0

Reorder the terms:
-2xy + x2 + -8y2 = 0

Solving
-2xy + x2 + -8y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(x + -4y)(x + 2y) = 0


Subproblem 1
Set the factor '(x + -4y)' equal to zero and attempt to solve:

Simplifying
x + -4y = 0

Solving
x + -4y = 0

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

Add '4y' to each side of the equation.
x + -4y + 4y = 0 + 4y

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

Simplifying
x = 4y

Subproblem 2
Set the factor '(x + 2y)' equal to zero and attempt to solve:

Simplifying
x + 2y = 0

Solving
x + 2y = 0

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

Add '-2y' to each side of the equation.
x + 2y + -2y = 0 + -2y

Combine like terms: 2y + -2y = 0
x + 0 = 0 + -2y
x = 0 + -2y
Remove the zero:
x = -2y

Simplifying
x = -2y
Solution
x = {4y, -2y}

See similar equations:

| 0.55n=11 | | 11z-19z=24 | | x^2-2*xy-8*y^2+1=1 | | 6(x+2)-76=-142 | | log(16-x)=2 | | x-7/6=13/3 | | 35=3w-10 | | 25a^3+110a^2-75a= | | -7/6y=49 | | f(x)=x^2+12x+36 | | 16.3k+19.2=-64.1 | | 8z-15-(-3z)=-15 | | ln(3x-4)=2 | | x-4/15=0 | | -2v=-20 | | 16/7+x=19/7 | | B-44=38 | | 8/x=22/(x-3) | | x/2-1/3=x/3-1/3 | | 6x+6+x=2+4x-5 | | -5r-4r+17r=73 | | 1/18+x=11/6 | | [A(w)]p=2(L+W) | | 2/(x+3)+(3/8)=5/(4x+12) | | 26=x+8 | | 13+3x+166=180 | | 8x-x=28 | | 2s-8=-7+3s | | 3(w+2)-2(w-1)+5= | | 8x-x=28 | | 2s-8=-7+3s | | 10x^2-20x=30 |

Equations solver categories