14,400=1600t-16t^2

Solution for 14,400=1600t-16t^2 equation:

14.400=1600t-16t^2

We move all terms to the left:

14.400-(1600t-16t^2)=0

We add all the numbers together, and all the variables

-(1600t-16t^2)+14.4=0

We get rid of parentheses

16t^2-1600t+14.4=0

a = 16; b = -1600; c = +14.4;
Δ = b2-4ac
Δ = -16002-4·16·14.4
Δ = 2559078.4
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{-(-1600)-\sqrt{2559078.4}}{2*16}=\frac{1600-\sqrt{2559078.4}}{32}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1600)+\sqrt{2559078.4}}{2*16}=\frac{1600+\sqrt{2559078.4}}{32}
$