27a*3a=6

Solution for 27a*3a=6 equation:

27a*3a=6

We move all terms to the left:

27a*3a-(6)=0

Wy multiply elements

81a^2-6=0

a = 81; b = 0; c = -6;
Δ = b2-4ac
Δ = 02-4·81·(-6)
Δ = 1944
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{1944}=\sqrt{324*6}=\sqrt{324}*\sqrt{6}=18\sqrt{6}$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-18\sqrt{6}}{2*81}=\frac{0-18\sqrt{6}}{162}
=-\frac{18\sqrt{6}}{162}
=-\frac{\sqrt{6}}{9}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+18\sqrt{6}}{2*81}=\frac{0+18\sqrt{6}}{162}
=\frac{18\sqrt{6}}{162}
=\frac{\sqrt{6}}{9}
$