ĐKXĐ : \(\hept{\begin{cases}x-3\ne0\\x+3\ne0\\9-x^2\ne0\end{cases}\Leftrightarrow\hept{\begin{cases}x\ne-3\\x\ne3\end{cases}}}\)
\(\frac{x}{x-3}-\frac{x}{x+3}=\frac{-2x^2+x-3}{9-x^2}\)
\(\Leftrightarrow\frac{x\left(x+3\right)-x\left(x-3\right)}{\left(x-3\right)\left(x+3\right)}=\frac{2x^2-x+3}{\left(x-3\right)\left(x+3\right)}\)
\(\Leftrightarrow2x^2-x+3=x^2+3x-x^2+3x\)
\(\Leftrightarrow2x^2-x+3=6x\)
\(\Leftrightarrow2x^2+5x+3=0\)
\(\Leftrightarrow2x^2+2x+3x+3=0\)
\(\Leftrightarrow2x\left(x+1\right)+3\left(x+1\right)=0\)
\(\Leftrightarrow\left(2x+3\right)\left(x+1\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}2x+3=0\\x+1=0\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=-\frac{3}{2}\\x=-1\end{cases}}\)(TMĐKXĐ)