2(107)=9.8t2

Solution for 2(107)=9.8t2 equation:

2(107)=9.8t^2

We move all terms to the left:

2(107)-(9.8t^2)=0

We get rid of parentheses

-9.8t^2+2107=0

a = -9.8; b = 0; c = +2107;
Δ = b2-4ac
Δ = 02-4·(-9.8)·2107
Δ = 82594.4
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{-(0)-\sqrt{82594.4}}{2*-9.8}=\frac{0-\sqrt{82594.4}}{-19.6}
=-\frac{\sqrt{}}{-19.6}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{82594.4}}{2*-9.8}=\frac{0+\sqrt{82594.4}}{-19.6}
=\frac{\sqrt{}}{-19.6}
$