0=-16t*t+100t

Solution for 0=-16t*t+100t equation:

0=-16t*t+100t

We move all terms to the left:

0-(-16t*t+100t)=0

We add all the numbers together, and all the variables

-(+100t-16t*t)+0=0

We add all the numbers together, and all the variables

-(+100t-16t*t)=0

We get rid of parentheses

-100t+16t*t=0

Wy multiply elements

16t^2-100t=0

a = 16; b = -100; c = 0;
Δ = b2-4ac
Δ = -1002-4·16·0
Δ = 10000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{10000}=100$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-100)-100}{2*16}=\frac{0}{32}
=0
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-100)+100}{2*16}=\frac{200}{32}
=6+1/4
$