9216=16t^2

Solution for 9216=16t^2 equation:

9216=16t^2

We move all terms to the left:

9216-(16t^2)=0

a = -16; b = 0; c = +9216;
Δ = b2-4ac
Δ = 02-4·(-16)·9216
Δ = 589824
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{589824}=768$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-768}{2*-16}=\frac{-768}{-32}
=+24
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+768}{2*-16}=\frac{768}{-32}
=-24
$