35=-16t2+72t+5

Solution for 35=-16t2+72t+5 equation:

35=-16t^2+72t+5

We move all terms to the left:

35-(-16t^2+72t+5)=0

We get rid of parentheses

16t^2-72t-5+35=0

We add all the numbers together, and all the variables

16t^2-72t+30=0

a = 16; b = -72; c = +30;
Δ = b2-4ac
Δ = -722-4·16·30
Δ = 3264
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:

$\sqrt{\Delta}=\sqrt{3264}=\sqrt{64*51}=\sqrt{64}*\sqrt{51}=8\sqrt{51}$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-72)-8\sqrt{51}}{2*16}=\frac{72-8\sqrt{51}}{32}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-72)+8\sqrt{51}}{2*16}=\frac{72+8\sqrt{51}}{32}
$