x(x-8)=308

Solution for x(x-8)=308 equation:

x(x-8)=308

We move all terms to the left:

x(x-8)-(308)=0

We multiply parentheses

x^2-8x-308=0

a = 1; b = -8; c = -308;
Δ = b2-4ac
Δ = -82-4·1·(-308)
Δ = 1296
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1296}=36$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8)-36}{2*1}=\frac{-28}{2}
=-14
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+36}{2*1}=\frac{44}{2}
=22
$