0=-16t^2+256t

Solution for 0=-16t^2+256t equation:

0=-16t^2+256t

We move all terms to the left:

0-(-16t^2+256t)=0

We add all the numbers together, and all the variables

-(-16t^2+256t)=0

We get rid of parentheses

16t^2-256t=0

a = 16; b = -256; c = 0;
Δ = b2-4ac
Δ = -2562-4·16·0
Δ = 65536
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{65536}=256$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-256)-256}{2*16}=\frac{0}{32}
=0
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-256)+256}{2*16}=\frac{512}{32}
=16
$