12x(x+8)=264

Solution for 12x(x+8)=264 equation:

12x(x+8)=264

We move all terms to the left:

12x(x+8)-(264)=0

We multiply parentheses

12x^2+96x-264=0

a = 12; b = 96; c = -264;
Δ = b2-4ac
Δ = 962-4·12·(-264)
Δ = 21888
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{21888}=\sqrt{576*38}=\sqrt{576}*\sqrt{38}=24\sqrt{38}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(96)-24\sqrt{38}}{2*12}=\frac{-96-24\sqrt{38}}{24}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(96)+24\sqrt{38}}{2*12}=\frac{-96+24\sqrt{38}}{24}
$