x^2-8x=768

Solution for x^2-8x=768 equation:

x^2-8x=768

We move all terms to the left:

x^2-8x-(768)=0

a = 1; b = -8; c = -768;
Δ = b2-4ac
Δ = -82-4·1·(-768)
Δ = 3136
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3136}=56$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8)-56}{2*1}=\frac{-48}{2}
=-24
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+56}{2*1}=\frac{64}{2}
=32
$