8x2-24x-432=0

Solution for 8x2-24x-432=0 equation:

8x^2-24x-432=0

a = 8; b = -24; c = -432;
Δ = b2-4ac
Δ = -242-4·8·(-432)
Δ = 14400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{14400}=120$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-24)-120}{2*8}=\frac{-96}{16}
=-6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-24)+120}{2*8}=\frac{144}{16}
=9
$