$$ \begin{aligned} 6+4x \cdot \frac{3^2-1}{2} &= 0&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2\cdot6+24x \cdot \frac{3^2-1}{2} &= 2\cdot0&& \text{cancel out the denominators} \\[1 em]12+32x &= 0&& \text{ move the constants to the right } \\[1 em]32x &= -12&& \text{ divide both sides by $ 32 $ } \\[1 em]x &= -\frac{12}{32}&& \\[1 em]x &= -\frac{3}{8}&& \\[1 em] \end{aligned} $$

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