9=-16t^2+16t+9

Solution for 9=-16t^2+16t+9 equation:

9=-16t^2+16t+9

We move all terms to the left:

9-(-16t^2+16t+9)=0

We get rid of parentheses

16t^2-16t-9+9=0

We add all the numbers together, and all the variables

16t^2-16t=0

a = 16; b = -16; c = 0;
Δ = b2-4ac
Δ = -162-4·16·0
Δ = 256
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{256}=16$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-16)-16}{2*16}=\frac{0}{32}
=0
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-16)+16}{2*16}=\frac{32}{32}
=1
$