85=-16t^2+14t+85

Solution for 85=-16t^2+14t+85 equation:

85=-16t^2+14t+85

We move all terms to the left:

85-(-16t^2+14t+85)=0

We get rid of parentheses

16t^2-14t-85+85=0

We add all the numbers together, and all the variables

16t^2-14t=0

a = 16; b = -14; c = 0;
Δ = b2-4ac
Δ = -142-4·16·0
Δ = 196
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{196}=14$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-14)-14}{2*16}=\frac{0}{32}
=0
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-14)+14}{2*16}=\frac{28}{32}
=7/8
$