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\frac{\sqrt{5}}{2}x=\frac{3}{2}
The equation is in standard form.
\frac{2\times \frac{\sqrt{5}}{2}x}{\sqrt{5}}=\frac{\frac{3}{2}\times 2}{\sqrt{5}}
Divide both sides by \frac{1}{2}\sqrt{5}.
x=\frac{\frac{3}{2}\times 2}{\sqrt{5}}
Dividing by \frac{1}{2}\sqrt{5} undoes the multiplication by \frac{1}{2}\sqrt{5}.
x=\frac{3\sqrt{5}}{5}
Divide \frac{3}{2} by \frac{1}{2}\sqrt{5}.