2. The complex number $z$ satisfies $|z|=1, w=3 z^{2}-\frac{2}{z^{2}}$. The ordinary equation of the curve represented by the moving point $W$ in the complex plane is $\qquad$ .
2. $x^{2}+\frac{y^{2}}{25}=1$.

Since $|z|=1$, we have $\left|z^{2}\right|=1$.
Let $z^{2}=\cos \theta+\mathrm{i} \sin \theta$. Then
$$
\begin{array}{l}
w=3(\cos \theta+\mathrm{i} \sin \theta)-2(\cos \theta-\mathrm{i} \sin \theta) \\
=\cos \theta+5 \mathrm{i} \sin \theta \\
\Rightarrow x=\cos \theta, y=5 \sin \theta .
\end{array}
$$

Eliminating $\theta$, the equation of the curve represented by point $W$ is
$$
x^{2}+\frac{y^{2}}{25}=1 \text {. }
$$