27x^2-72x-27=0

Solution for 27x^2-72x-27=0 equation:

27x^2-72x-27=0

a = 27; b = -72; c = -27;
Δ = b2-4ac
Δ = -722-4·27·(-27)
Δ = 8100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{8100}=90$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-72)-90}{2*27}=\frac{-18}{54}
=-1/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-72)+90}{2*27}=\frac{162}{54}
=3
$