(12*x)*x=1728

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

(12x)*x=1728

We move all terms to the left:

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

Wy multiply elements

12x^2-1728=0

a = 12; b = 0; c = -1728;
Δ = b2-4ac
Δ = 02-4·12·(-1728)
Δ = 82944
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{82944}=288$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-288}{2*12}=\frac{-288}{24}
=-12
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+288}{2*12}=\frac{288}{24}
=12
$