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zg=\frac{z^{2}}{Re(z)-Im(z)}
The equation is in standard form.
\frac{zg}{z}=\frac{z^{2}}{\left(Re(z)-Im(z)\right)z}
Divide both sides by z.
g=\frac{z^{2}}{\left(Re(z)-Im(z)\right)z}
Dividing by z undoes the multiplication by z.
g=\frac{z}{Re(z)-Im(z)}
Divide \frac{z^{2}}{Re(z)-Im(z)} by z.