$$ \begin{aligned} (-\frac{945}{10000})x^2+\frac{2147}{1000}x+\frac{75}{100000} &= 0&& \text{multiply ALL terms by } \color{blue}{ 100000 }. \\[1 em]100000(-\frac{945}{10000})x^2+100000\frac{2147}{1000}x+100000\cdot\frac{75}{100000} &= 100000\cdot0&& \text{cancel out the denominators} \\[1 em]0+214700x+75 &= 0&& \text{simplify left side} \\[1 em]214700x+75 &= 0&& \text{ move the constants to the right } \\[1 em]214700x &= -75&& \text{ divide both sides by $ 214700 $ } \\[1 em]x &= -\frac{75}{214700}&& \\[1 em]x &= -\frac{3}{8588}&& \\[1 em] \end{aligned} $$

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