$$ \begin{aligned} \frac{5}{x^2}+\frac{4}{x}-1 &= 0&& \text{multiply ALL terms by } \color{blue}{ x^2x }. \\[1 em]x^2x\cdot\frac{5}{x^2}+x^2x\cdot\frac{4}{x}-x^2x\cdot1 &= x^2x\cdot0&& \text{cancel out the denominators} \\[1 em]\frac{5}{x^1}+4-x^3 &= 0&& \text{multiply ALL terms by } \color{blue}{ x^1 }. \\[1 em]x^1\cdot\frac{5}{x^1}+x^1\cdot4-x^1\cdot1x^3 &= x^1\cdot0&& \text{cancel out the denominators} \\[1 em]5+4x-x^4 &= 0&& \text{simplify left side} \\[1 em]-x^4+4x+5 &= 0&& \\[1 em] \end{aligned} $$

This page was created using