Solve the following equation: `tantheta+tan2theta+tan3theta=0`

Explanation

To solve the equation \( \tan \theta + \tan 2\theta + \tan 3\theta = 0 \), we can follow these steps:

### Step 1: Rewrite the equation
We start with the equation:
\[ \tan \theta + \tan 2\theta + \tan 3\theta = 0 \]
This can be grouped as:
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