0=102x-16x^2

Solution for 0=102x-16x^2 equation:

0=102x-16x^2

We move all terms to the left:

0-(102x-16x^2)=0

We add all the numbers together, and all the variables

-(102x-16x^2)=0

We get rid of parentheses

16x^2-102x=0

a = 16; b = -102; c = 0;
Δ = b2-4ac
Δ = -1022-4·16·0
Δ = 10404
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{10404}=102$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-102)-102}{2*16}=\frac{0}{32}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-102)+102}{2*16}=\frac{204}{32}
=6+3/8
$