-25=-16t^2+60t

Solution for -25=-16t^2+60t equation:

-25=-16t^2+60t

We move all terms to the left:

-25-(-16t^2+60t)=0

We get rid of parentheses

16t^2-60t-25=0

a = 16; b = -60; c = -25;
Δ = b2-4ac
Δ = -602-4·16·(-25)
Δ = 5200
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:

$\sqrt{\Delta}=\sqrt{5200}=\sqrt{400*13}=\sqrt{400}*\sqrt{13}=20\sqrt{13}$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-60)-20\sqrt{13}}{2*16}=\frac{60-20\sqrt{13}}{32}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+20\sqrt{13}}{2*16}=\frac{60+20\sqrt{13}}{32}
$