$$ \begin{aligned} \frac{1}{2}x\cdot\frac{3}{2}x\cdot1-1-4 &= 5&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2 \cdot \frac{1}{2}x\cdot\frac{3}{2}x\cdot1-2\cdot1-2\cdot4 &= 2\cdot5&& \text{cancel out the denominators} \\[1 em]\frac{3}{2}xx-2-8 &= 10&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2 \cdot \frac{3}{2}xx-2\cdot2-2\cdot8 &= 2\cdot10&& \text{cancel out the denominators} \\[1 em]3x^2-4-16 &= 20&& \text{simplify left side} \\[1 em]3x^2-20 &= 20&& \text{move all terms to the left hand side } \\[1 em]3x^2-20-20 &= 0&& \text{simplify left side} \\[1 em]3x^2-40 &= 0&& \\[1 em] \end{aligned} $$

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