0=205-11t-16t^2

Solution for 0=205-11t-16t^2 equation:

0=205-11t-16t^2

We move all terms to the left:

0-(205-11t-16t^2)=0

We add all the numbers together, and all the variables

-(205-11t-16t^2)=0

We get rid of parentheses

16t^2+11t-205=0

a = 16; b = 11; c = -205;
Δ = b2-4ac
Δ = 112-4·16·(-205)
Δ = 13241
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(11)-\sqrt{13241}}{2*16}=\frac{-11-\sqrt{13241}}{32}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+\sqrt{13241}}{2*16}=\frac{-11+\sqrt{13241}}{32}
$