6x^2-66x-1080=0

Solution for 6x^2-66x-1080=0 equation:

6x^2-66x-1080=0

a = 6; b = -66; c = -1080;
Δ = b2-4ac
Δ = -662-4·6·(-1080)
Δ = 30276
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{30276}=174$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-66)-174}{2*6}=\frac{-108}{12}
=-9
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-66)+174}{2*6}=\frac{240}{12}
=20
$