SOLUTION: Pleas help me solve this equation: (4)/(z)-(7)/(z-2)=(1)/(5) What is the solution set?

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Question 1025771: Pleas help me solve this equation:
(4)/(z)-(7)/(z-2)=(1)/(5)
What is the solution set?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
%28%284%29%2F%28z%29%29-%28%287%29%2F%28z-2%29%29=%281%29%2F%285%29
multiply the equation by 5z(z-2)

%2820%28z-2%29%29-%2835z%29=z%28z-2%29

20z-40-35z=+z%5E2-2z

z%5E2%2B13z%2B40=0
(z+8)(z+5)=0
z=-8 or z=-5
solution set (-8,-5)