60000=-16t^2+2000t+2

Solution for 60000=-16t^2+2000t+2 equation:

60000=-16t^2+2000t+2

We move all terms to the left:

60000-(-16t^2+2000t+2)=0

We get rid of parentheses

16t^2-2000t-2+60000=0

We add all the numbers together, and all the variables

16t^2-2000t+59998=0

a = 16; b = -2000; c = +59998;
Δ = b2-4ac
Δ = -20002-4·16·59998
Δ = 160128
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{160128}=\sqrt{576*278}=\sqrt{576}*\sqrt{278}=24\sqrt{278}$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2000)-24\sqrt{278}}{2*16}=\frac{2000-24\sqrt{278}}{32}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2000)+24\sqrt{278}}{2*16}=\frac{2000+24\sqrt{278}}{32}
$