Tự tính điều kiện $\Delta$
$\begin{array}{l} Viet \to \left\{ \begin{array}{l} {x_1} + {x_2} = - \dfrac{b}{a} = - 3\left( 1 \right)\\ {x_1}{x_2} = m - 1 \end{array} \right.\\ {x_1}\left( {x_1^4 - 1} \right) + {x_2}\left( {32x_2^4 - 1} \right) = 3\\ \Leftrightarrow x_1^5 - {x_1} + 32x_2^5 - {x_2} = 3\\ \Leftrightarrow x_1^5 + 32x_2^5 - \left( {{x_1} + {x_2}} \right) = 3\\ \Leftrightarrow x_1^5 + 32x_2^5 + 3 = 3\\ \Leftrightarrow x_1^5 = - 32x_2^5\\ \Leftrightarrow {x_1} = - 2{x_2}\left( 3 \right)\\ \left( 3 \right) \to \left( 2 \right): - {x_2} = - 3 \Rightarrow {x_2} = 3\\ \Rightarrow {x_1} = - 6\\ {x_1}{x_2} = m - 1\\ \Leftrightarrow - 18 = m - 1 \Leftrightarrow m = - 17 \end{array}$
