ধরি, সমীকরণটির মূল তিনটি হলো $\frac{\alpha}{r}, \alpha, \alpha r$। মূলগুলোর গুণফল, $$ \begin{aligned} \frac{\alpha}{r} \cdot \alpha \cdot \alpha r &= -\frac{-24}{3} = 8 \end{aligned} $$ $$ \begin{aligned} \alpha^3 &= 8 \Rightarrow \alpha = 2 \end{aligned} $$ মূলগুলোর সমষ্টি, $$ \begin{aligned} \frac{\alpha}{r} + \alpha + \alpha r &= -\frac{-26}{3} = \frac{26}{3} \end{aligned} $$ $$ \begin{aligned} \frac{2}{r} + 2 + 2r &= \frac{26}{3} \end{aligned} $$ $$ \begin{aligned} \frac{1}{r} + 1 + r &= \frac{13}{3} \Rightarrow \frac{1+r+r^2}{r} = \frac{13}{3} \end{aligned} $$ $$ \begin{aligned} 3r^2 - 10r + 3 &= 0 \Rightarrow (3r-1)(r-3) = 0 \end{aligned} $$ সুতরাং $r=3$ অথবা $r=\frac{1}{3}$। মূলগুলো হলো $\frac{2}{3}, 2, 6$।