Solve `tan theta+tan 2 theta+sqrt(3) tan theta tan 2 theta = sqrt(3)`.

Explanation

To solve the equation \( \tan \theta + \tan 2\theta + \sqrt{3} \tan \theta \tan 2\theta = \sqrt{3} \), we can follow these steps:

### Step 1: Rearrange the equation
We start with the given equation:
\[ \tan \theta + \tan 2\theta + \sqrt{3} \tan \theta \tan 2\theta = \sqrt{3} \]
We can rearrange this to isolate the terms involving \( \tan \theta \) and \( \tan 2\theta \):
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