`~rai~`
$\begin{array}{1}2sinx+3cotx=0\\ĐK:sinx\ne 0\Leftrightarrow x\ne m\pi(m\in\mathbb{Z})\\PT\Leftrightarrow 2sin^2x+3cosx=0\\\Leftrightarrow 2(1-cos^2x)+3cosx=0\\\Leftrightarrow 2cos^2x-3cosx-2=0\\\Leftrightarrow \left[\begin{array}{1}x=2(loại)\\x=-\dfrac{1}{2}(nhận)\end{array}\right.\\\Leftrightarrow \left[\begin{array}{1}x=\dfrac{2\pi}{3}+k2\pi\\x=-\dfrac{2\pi}{3}+k2\pi(k\in\mathbb{Z})\end{array}\right. \end{array}$
