I can not get my head around why mathematica can not solve this equation:

```
In[22]:= Solve[1/x^12 - 2/x^6 + 1/2 (-2 + x)^2 HeavisideTheta[-2 + x] == 0]
During evaluation of In[22]:= Solve::nsmet: This system cannot be solved with the methods available to Solve. >>
Out[22]= Solve[1/x^12 - 2/x^6 + 1/2 (-2 + x)^2 HeavisideTheta[-2 + x] == 0]

```

using mathematica 9.0.1.0.

Edit:

```
In[24]:= Plot[1/x^12 - 2/x^6 + 1/2 (-2 + x)^2 HeavisideTheta[-2 + x], {x, 1, 3}]

```

![plot](https://i.imgur.com/D5wTHKN.jpg)