18x^2-72x-576=0

Solution for 18x^2-72x-576=0 equation:

18x^2-72x-576=0

a = 18; b = -72; c = -576;
Δ = b2-4ac
Δ = -722-4·18·(-576)
Δ = 46656
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{46656}=216$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-72)-216}{2*18}=\frac{-144}{36}
=-4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-72)+216}{2*18}=\frac{288}{36}
=8
$