(-16t^2+480t)=0

Solution for (-16t^2+480t)=0 equation:

(-16t^2+480t)=0

We get rid of parentheses

-16t^2+480t=0

a = -16; b = 480; c = 0;
Δ = b2-4ac
Δ = 4802-4·(-16)·0
Δ = 230400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{230400}=480$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(480)-480}{2*-16}=\frac{-960}{-32}
=+30
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(480)+480}{2*-16}=\frac{0}{-32}
=0
$