0=-16t^2-50t+1750

Solution for 0=-16t^2-50t+1750 equation:

0=-16t^2-50t+1750

We move all terms to the left:

0-(-16t^2-50t+1750)=0

We add all the numbers together, and all the variables

-(-16t^2-50t+1750)=0

We get rid of parentheses

16t^2+50t-1750=0

a = 16; b = 50; c = -1750;
Δ = b2-4ac
Δ = 502-4·16·(-1750)
Δ = 114500
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:

$\sqrt{\Delta}=\sqrt{114500}=\sqrt{100*1145}=\sqrt{100}*\sqrt{1145}=10\sqrt{1145}$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(50)-10\sqrt{1145}}{2*16}=\frac{-50-10\sqrt{1145}}{32}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(50)+10\sqrt{1145}}{2*16}=\frac{-50+10\sqrt{1145}}{32}
$