$$ \begin{aligned} 4 \cdot \frac{x}{xx-25} &= 0&& \text{multiply ALL terms by } \color{blue}{ xx-25 }. \\[1 em](xx-25)\cdot4 \cdot \frac{x}{xx-25} &= (xx-25)\cdot0&& \text{cancel out the denominators} \\[1 em]4x &= 0&& \text{ divide both sides by $ 4 $ } \\[1 em]x &= \frac{0}{4}&& \\[1 em]x &= 0&& \\[1 em] \end{aligned} $$
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