0=64t+16t^2

Solution for 0=64t+16t^2 equation:

0=64t+16t^2

We move all terms to the left:

0-(64t+16t^2)=0

We add all the numbers together, and all the variables

-(64t+16t^2)=0

We get rid of parentheses

-16t^2-64t=0

a = -16; b = -64; c = 0;
Δ = b2-4ac
Δ = -642-4·(-16)·0
Δ = 4096
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4096}=64$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-64)-64}{2*-16}=\frac{0}{-32}
=0
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-64)+64}{2*-16}=\frac{128}{-32}
=-4
$