Algebra
posted by Jessica .
I have this math probelm
z(3z)/(2z)=(6)/(z2)
in my book it says to solve the equation. I have worked this problem many times and I keep comming up with different answers. When I use an online calculator to check my work it is giving me an answer of z=3 I have not gotten that answer any of the times that I have worked this problem. Can someone please help?

z(3z)/(2z)=(6)/(z2)
z(3z)/(2z)= (6)/(2z)
if z = 2, problem is undefined (division by zero)
z(2z) 3z = 6
2z  z^2 3z = 6
z^2 + z 6 = 0
(z+3)(z2) = 0
z = 3 or z = +2
but z = +2 gives a zero denominator in original so z = 3 is it 
Thank you for your help