x^2-8x=384

Solution for x^2-8x=384 equation:

x^2-8x=384

We move all terms to the left:

x^2-8x-(384)=0

a = 1; b = -8; c = -384;
Δ = b2-4ac
Δ = -82-4·1·(-384)
Δ = 1600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1600}=40$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8)-40}{2*1}=\frac{-32}{2}
=-16
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+40}{2*1}=\frac{48}{2}
=24
$