0=-16t^2+45t+10

Solution for 0=-16t^2+45t+10 equation:

0=-16t^2+45t+10

We move all terms to the left:

0-(-16t^2+45t+10)=0

We add all the numbers together, and all the variables

-(-16t^2+45t+10)=0

We get rid of parentheses

16t^2-45t-10=0

a = 16; b = -45; c = -10;
Δ = b2-4ac
Δ = -452-4·16·(-10)
Δ = 2665
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{-(-45)-\sqrt{2665}}{2*16}=\frac{45-\sqrt{2665}}{32}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-45)+\sqrt{2665}}{2*16}=\frac{45+\sqrt{2665}}{32}
$