0=144t^2-16t

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

0=144t^2-16t

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We get rid of parentheses

-144t^2+16t=0

a = -144; b = 16; c = 0;
Δ = b2-4ac
Δ = 162-4·(-144)·0
Δ = 256
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{256}=16$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(16)-16}{2*-144}=\frac{-32}{-288}
=1/9
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16)+16}{2*-144}=\frac{0}{-288}
=0
$