0=-16t*t+9t+125

Solution for 0=-16t*t+9t+125 equation:

0=-16t*t+9t+125

We move all terms to the left:

0-(-16t*t+9t+125)=0

We add all the numbers together, and all the variables

-(9t-16t*t+125)+0=0

We add all the numbers together, and all the variables

-(9t-16t*t+125)=0

We get rid of parentheses

-9t+16t*t-125=0

Wy multiply elements

16t^2-9t-125=0

a = 16; b = -9; c = -125;
Δ = b2-4ac
Δ = -92-4·16·(-125)
Δ = 8081
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{-(-9)-\sqrt{8081}}{2*16}=\frac{9-\sqrt{8081}}{32}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-9)+\sqrt{8081}}{2*16}=\frac{9+\sqrt{8081}}{32}
$