0=16x-6x^2

Solution for 0=16x-6x^2 equation:

0=16x-6x^2

We move all terms to the left:

0-(16x-6x^2)=0

We add all the numbers together, and all the variables

-(16x-6x^2)=0

We get rid of parentheses

6x^2-16x=0

a = 6; b = -16; c = 0;
Δ = b2-4ac
Δ = -162-4·6·0
Δ = 256
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{256}=16$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-16)-16}{2*6}=\frac{0}{12}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-16)+16}{2*6}=\frac{32}{12}
=2+2/3
$