0=16t^2-144

Solution for 0=16t^2-144 equation:

0=16t^2-144

We move all terms to the left:

0-(16t^2-144)=0

We add all the numbers together, and all the variables

-(16t^2-144)=0

We get rid of parentheses

-16t^2+144=0

a = -16; b = 0; c = +144;
Δ = b2-4ac
Δ = 02-4·(-16)·144
Δ = 9216
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9216}=96$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-96}{2*-16}=\frac{-96}{-32}
=+3
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+96}{2*-16}=\frac{96}{-32}
=-3
$