0=-16t^2+260t

Solution for 0=-16t^2+260t equation:

0=-16t^2+260t

We move all terms to the left:

0-(-16t^2+260t)=0

We add all the numbers together, and all the variables

-(-16t^2+260t)=0

We get rid of parentheses

16t^2-260t=0

a = 16; b = -260; c = 0;
Δ = b2-4ac
Δ = -2602-4·16·0
Δ = 67600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{67600}=260$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-260)-260}{2*16}=\frac{0}{32}
=0
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-260)+260}{2*16}=\frac{520}{32}
=16+1/4
$