ĐK: \(x\ne\dfrac{\pi}{12}+\dfrac{k\pi}{2};x\ne\dfrac{\pi}{6}+\dfrac{k\pi}{3}\)
\(tan\left(2x+\dfrac{\pi}{3}\right)+tan3x=0\)
\(\Leftrightarrow\dfrac{sin\left(5x+\dfrac{\pi}{3}\right)}{cos\left(2x+\dfrac{\pi}{3}\right).cos3x}=0\)
\(\Leftrightarrow sin\left(5x+\dfrac{\pi}{3}\right)=0\)
\(\Leftrightarrow5x+\dfrac{\pi}{3}=k\pi\)
\(\Leftrightarrow x=-\dfrac{\pi}{15}+\dfrac{k\pi}{5}\)
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