0=1192t-16t^2

Solution for 0=1192t-16t^2 equation:

0=1192t-16t^2

We move all terms to the left:

0-(1192t-16t^2)=0

We add all the numbers together, and all the variables

-(1192t-16t^2)=0

We get rid of parentheses

16t^2-1192t=0

a = 16; b = -1192; c = 0;
Δ = b2-4ac
Δ = -11922-4·16·0
Δ = 1420864
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1420864}=1192$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1192)-1192}{2*16}=\frac{0}{32}
=0
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1192)+1192}{2*16}=\frac{2384}{32}
=74+1/2
$