$$\frac{240}{x+8}\cdot20\frac{x}{x+1} = 0$$

$$ \begin{aligned} \frac{240}{x+8}\cdot20\frac{x}{x+1} &= 0&& \text{multiply ALL terms by } \color{blue}{ (x+8)(x+1) }. \\[1 em](x+8)(x+1)\frac{240}{x+8}\cdot20\frac{x}{x+1} &= (x+8)(x+1)\cdot0&& \text{cancel out the denominators} \\[1 em]4800x &= 0&& \text{ divide both sides by $ 4800 $ } \\[1 em]x &= \frac{0}{4800}&& \\[1 em]x &= 0&& \\[1 em] \end{aligned} $$

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