x*(x-12)*6=1728

Solution for x*(x-12)*6=1728 equation:

x(x-12)*6=1728

We move all terms to the left:

x(x-12)*6-(1728)=0

We multiply parentheses

6x^2-72x-1728=0

a = 6; b = -72; c = -1728;
Δ = b2-4ac
Δ = -722-4·6·(-1728)
Δ = 46656
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{46656}=216$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-72)-216}{2*6}=\frac{-144}{12}
=-12
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-72)+216}{2*6}=\frac{288}{12}
=24
$