19.2t=9.8t^2

Solution for 19.2t=9.8t^2 equation:

19.2t=9.8t^2

We move all terms to the left:

19.2t-(9.8t^2)=0

We get rid of parentheses

-9.8t^2+19.2t=0

a = -9.8; b = 19.2; c = 0;
Δ = b2-4ac
Δ = 19.22-4·(-9.8)·0
Δ = 368.64
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(19.2)-\sqrt{368.64}}{2*-9.8}=\frac{-19.2-\sqrt{368.64}}{-19.6}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(19.2)+\sqrt{368.64}}{2*-9.8}=\frac{-19.2+\sqrt{368.64}}{-19.6}
$