2x*2x*480/x*240=6x-11

Solution for 2x*2x*480/x*240=6x-11 equation:

2x*2x*480/x*240=6x-11

We move all terms to the left:

2x*2x*480/x*240-(6x-11)=0


Domain of the equation: x*240!=0

x!=0/1

x!=0

x∈R


We get rid of parentheses

2x*2x*480/x*240-6x+11=0

We multiply all the terms by the denominator


2x*2x*480-6x*x*240+11*x*240=0

Wy multiply elements

1920x^2*4-1440x^2*2+2640x*2=0

Wy multiply elements

7680x^2-2880x^2+5280x=0

We add all the numbers together, and all the variables

4800x^2+5280x=0

a = 4800; b = 5280; c = 0;
Δ = b2-4ac
Δ = 52802-4·4800·0
Δ = 27878400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{27878400}=5280$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5280)-5280}{2*4800}=\frac{-10560}{9600}
=-1+1/10
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5280)+5280}{2*4800}=\frac{0}{9600}
=0
$