T=-16t^2+64t+100

Solution for T=-16t^2+64t+100 equation:

=-16T^2+64T+100

We move all terms to the left:

-(-16T^2+64T+100)=0

We get rid of parentheses

16T^2-64T-100=0

a = 16; b = -64; c = -100;
Δ = b2-4ac
Δ = -642-4·16·(-100)
Δ = 10496
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:

$\sqrt{\Delta}=\sqrt{10496}=\sqrt{256*41}=\sqrt{256}*\sqrt{41}=16\sqrt{41}$
$T_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-64)-16\sqrt{41}}{2*16}=\frac{64-16\sqrt{41}}{32}
$
$T_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-64)+16\sqrt{41}}{2*16}=\frac{64+16\sqrt{41}}{32}
$