You can put this solution on YOUR website! z-3/z+5= 2/7
z-3/z=2/7-5
(z*z-3)/z=(2-5*7)/7
(z^2-3)/z=(2-35)/7
(z^2-3)/z=-33/7 cross multiply.
7(z^2-3)=-33z
7z^2-21+33z=0
7z^2-33z-21=0
Ans. using: IS (5.28 & -.568).
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Unless you mean:
(z-3)/(z+5)= 2/7 Then:
7(z-3)=2(z+5)
7z-21=2z+10
7z-2z=10+21
5z=31
z=31/5
z=6.2 ans.