27a^2-108=0

Solution for 27a^2-108=0 equation:

27a^2-108=0

a = 27; b = 0; c = -108;
Δ = b2-4ac
Δ = 02-4·27·(-108)
Δ = 11664
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{11664}=108$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-108}{2*27}=\frac{-108}{54}
=-2
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+108}{2*27}=\frac{108}{54}
=2
$