-16t^2-16t+64=-370

Solution for -16t^2-16t+64=-370 equation:

-16t^2-16t+64=-370

We move all terms to the left:

-16t^2-16t+64-(-370)=0

We add all the numbers together, and all the variables

-16t^2-16t+434=0

a = -16; b = -16; c = +434;
Δ = b2-4ac
Δ = -162-4·(-16)·434
Δ = 28032
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:

$\sqrt{\Delta}=\sqrt{28032}=\sqrt{64*438}=\sqrt{64}*\sqrt{438}=8\sqrt{438}$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-16)-8\sqrt{438}}{2*-16}=\frac{16-8\sqrt{438}}{-32}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-16)+8\sqrt{438}}{2*-16}=\frac{16+8\sqrt{438}}{-32}
$