Solve the Canonical Form: $-8\xi\eta U_{\xi\eta}+\xi U_\xi+3\eta U_\eta =0$

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Solve the Canonical Form: $-8\xi\eta U_{\xi\eta}+\xi U_\xi+3\eta U_\eta =0$

I can solve ordinary canonical form, but it is too hard for me, Can you help me solve out or give me some hints?