0=-16t^2+10000

Solution for 0=-16t^2+10000 equation:

0=-16t^2+10000

We move all terms to the left:

0-(-16t^2+10000)=0

We add all the numbers together, and all the variables

-(-16t^2+10000)=0

We get rid of parentheses

16t^2-10000=0

a = 16; b = 0; c = -10000;
Δ = b2-4ac
Δ = 02-4·16·(-10000)
Δ = 640000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{640000}=800$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-800}{2*16}=\frac{-800}{32}
=-25
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+800}{2*16}=\frac{800}{32}
=25
$