Đặt \(\left\{{}\begin{matrix}\sqrt[3]{5x+3}=a\\\sqrt[3]{5x-13}=b\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}a-b=4\\a^3-b^3=16\end{matrix}\right.\)
\(\Rightarrow a^3-\left(a-4\right)^3=16\)
\(\Leftrightarrow12a^2-48a+48=0\)
\(\Leftrightarrow12\left(a-2\right)^2=0\)
\(\Leftrightarrow...\)