600=6a^2

Solution for 600=6a^2 equation:

600=6a^2

We move all terms to the left:

600-(6a^2)=0

a = -6; b = 0; c = +600;
Δ = b2-4ac
Δ = 02-4·(-6)·600
Δ = 14400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{14400}=120$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-120}{2*-6}=\frac{-120}{-12}
=+10
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+120}{2*-6}=\frac{120}{-12}
=-10
$