12=6(12x2)

Solution for 12=6(12x2) equation:

12=6(12x^2)

We move all terms to the left:

12-(6(12x^2))=0

determiningTheFunctionDomain
-612x^2+12=0

a = -612; b = 0; c = +12;
Δ = b2-4ac
Δ = 02-4·(-612)·12
Δ = 29376
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:

$\sqrt{\Delta}=\sqrt{29376}=\sqrt{576*51}=\sqrt{576}*\sqrt{51}=24\sqrt{51}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-24\sqrt{51}}{2*-612}=\frac{0-24\sqrt{51}}{-1224}
=-\frac{24\sqrt{51}}{-1224}
=-\frac{\sqrt{51}}{-51}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+24\sqrt{51}}{2*-612}=\frac{0+24\sqrt{51}}{-1224}
=\frac{24\sqrt{51}}{-1224}
=\frac{\sqrt{51}}{-51}
$