8x^2-120x-432=0

Solution for 8x^2-120x-432=0 equation:

8x^2-120x-432=0

a = 8; b = -120; c = -432;
Δ = b2-4ac
Δ = -1202-4·8·(-432)
Δ = 28224
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{28224}=168$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-120)-168}{2*8}=\frac{-48}{16}
=-3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-120)+168}{2*8}=\frac{288}{16}
=18
$