2400=6t2

Solution for 2400=6t2 equation:

2400=6t^2

We move all terms to the left:

2400-(6t^2)=0

a = -6; b = 0; c = +2400;
Δ = b2-4ac
Δ = 02-4·(-6)·2400
Δ = 57600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{57600}=240$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-240}{2*-6}=\frac{-240}{-12}
=+20
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+240}{2*-6}=\frac{240}{-12}
=-20
$