27x^2=192

Solution for 27x^2=192 equation:

27x^2=192

We move all terms to the left:

27x^2-(192)=0

a = 27; b = 0; c = -192;
Δ = b2-4ac
Δ = 02-4·27·(-192)
Δ = 20736
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{20736}=144$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-144}{2*27}=\frac{-144}{54}
=-2+2/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+144}{2*27}=\frac{144}{54}
=2+2/3
$