5x^2-4xy-y^2=0

Simple and best practice solution for 5x^2-4xy-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 5x^2-4xy-y^2=0 equation: 


Simplifying
5x2 + -4xy + -1y2 = 0

Reorder the terms:
-4xy + 5x2 + -1y2 = 0

Solving
-4xy + 5x2 + -1y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(x + -1y)(5x + y) = 0


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

Simplifying
x + -1y = 0

Solving
x + -1y = 0

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

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

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

Simplifying
x = y

Subproblem 2
Set the factor '(5x + y)' equal to zero and attempt to solve:

Simplifying
5x + y = 0

Solving
5x + y = 0

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

Add '-1y' to each side of the equation.
5x + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
5x + 0 = 0 + -1y
5x = 0 + -1y
Remove the zero:
5x = -1y

Divide each side by '5'.
x = -0.2y

Simplifying
x = -0.2y
Solution
x = {y, -0.2y}

See similar equations:

| y=2+1.50x | | 6x-x^2=9+4x^2-12x | | 2x-1=2(x-6) | | 75=3(-3x+1) | | V=(10-2x)(15-2x)x | | 9+10=10+9 | | 9+10=10-9 | | X/3-5=18 | | 40=4w+12 | | 0.06-0.18=0.12 | | S=2lw+2lh+2whfindl | | f(x)=tan(6x) | | 10k^2-29k+10=0 | | x^2+y^2-2x-8y-19=0 | | (5x^2+2x-8)-(4x^2-2x-8)= | | 0.50(x-500000.00)=750000 | | 5u+3=7(u+1) | | (5-6b+b^2)-(9b^3-5b-6)= | | 2x+3forx=3 | | 4c+3=7 | | k^2-8x+12=0 | | 10x-6=x+7 | | x^3+2x=42 | | (x^2-9)(5x-5)=0 | | 5+91x=52x+11 | | 0.50(x-500000.00)=500001 | | -91=-7(1+2p) | | xa+4b=24 | | 81/64x^6-16y^8 | | 25n^2-90n-175=0 | | 0.50(x+500000.00)=500001 | | 2X+1=4X+11 |

Equations solver categories