8x^2+2xy-4xy-y^2=0

Simple and best practice solution for 8x^2+2xy-4xy-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 8x^2+2xy-4xy-y^2=0 equation: 


Simplifying
8x2 + 2xy + -4xy + -1y2 = 0

Reorder the terms:
2xy + -4xy + 8x2 + -1y2 = 0

Combine like terms: 2xy + -4xy = -2xy
-2xy + 8x2 + -1y2 = 0

Solving
-2xy + 8x2 + -1y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2x + -1y)(4x + y) = 0


Subproblem 1
Set the factor '(2x + -1y)' equal to zero and attempt to solve:

Simplifying
2x + -1y = 0

Solving
2x + -1y = 0

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

Add 'y' to each side of the equation.
2x + -1y + y = 0 + y

Combine like terms: -1y + y = 0
2x + 0 = 0 + y
2x = 0 + y
Remove the zero:
2x = y

Divide each side by '2'.
x = 0.5y

Simplifying
x = 0.5y

Subproblem 2
Set the factor '(4x + y)' equal to zero and attempt to solve:

Simplifying
4x + y = 0

Solving
4x + y = 0

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

Add '-1y' to each side of the equation.
4x + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
4x + 0 = 0 + -1y
4x = 0 + -1y
Remove the zero:
4x = -1y

Divide each side by '4'.
x = -0.25y

Simplifying
x = -0.25y
Solution
x = {0.5y, -0.25y}

See similar equations:

| 8b-8-4b-3= | | 1+3k=10 | | 2c+8(9c+8)= | | 4z-(8-3z)=8z-1 | | tanx-sinx=-2 | | 5x^2=3-x | | n+65=72 | | n-18=54 | | -7+(i)+(4-2i)= | | x^3-18x^2+108x=216 | | 14=8z-2 | | -6(5+8r)+4r=-294 | | n=324-192 | | 1+2v=9 | | Z=z-2 | | Y=120x | | y=-3(-2)-8 | | 3j=5(j-.30) | | -9=-r | | Ln(x-2)+lnx=o | | 60+25x=35x | | 3log(8x)=15 | | n+14=29 | | 180=n+.5n+.5n | | -2(p+3)=4p-3 | | 5log(4x)=15 | | 7x-5(-3x-8)=-4 | | 4(6x+8)+6(2-7)=150 | | s+12.5=14 | | x-8+33=180 | | 2(3z)=-30 | | y=-2(-6)+3 |

Equations solver categories