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December 20, 2014

December 20, 2014

Posted by **Jessica** on Wednesday, August 11, 2010 at 9:36am.

z-(3z)/(2-z)=(6)/(z-2)

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?

- Algebra -
**Damon**, Wednesday, August 11, 2010 at 10:49amz-(3z)/(2-z)=(6)/(z-2)

z-(3z)/(2-z)= -(6)/(2-z)

if z = 2, problem is undefined (division by zero)

z(2-z) -3z = -6

2z - z^2 -3z = -6

z^2 + z -6 = 0

(z+3)(z-2) = 0

z = -3 or z = +2

but z = +2 gives a zero denominator in original so z = -3 is it

- Algebra -
**Jessica**, Wednesday, August 11, 2010 at 12:11pmThank you for your help

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