\(\frac{x}{36}=\frac{2}{x+1}\left(ĐK:x\ne-1\right)\)
\(\Leftrightarrow x\left(x+1\right)=2\cdot36\)
\(\Leftrightarrow x^2+x-72=0\)
\(\Leftrightarrow x^2-8x+9x-72=0\)
\(\Leftrightarrow x\left(x-8\right)+9\left(x-8\right)=0\)
\(\Leftrightarrow\left(x-8\right)\left(x+9\right)=0\)
\(\Leftrightarrow\left[\begin{array}{nghiempt}x-8=0\\x+9=0\end{array}\right.\)\(\Leftrightarrow\left[\begin{array}{nghiempt}x=8\\x=-9\end{array}\right.\)