4z/z^2 + 4z +3 = 6/z +3 + 4/z +1

THANK YOU SO MUCH IF YOU HELP ME :)

Simplify:

4/z + 4z + 3 = 6/z + 3 + 4/z + 1

Combine terms:

4/z + 4z = 10/z +1

4z = 6/z + 1

4z - 1 = 6/z

4z^2 - z = 6

4z^2 - z - 6 = 0

(2z - 3)(z + 1)

z = (1/8) +/- sqrt(97/8)

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