SOLUTION: need help bad 1/z+1 - 6-z/6z = 0

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Question 143996: need help bad
1/z+1 - 6-z/6z = 0
Answer by jim_thompson5910(21685) About Me  (Show Source):
You can put this solution on YOUR website!
%281%29%2F%28z%2B1%29-%286-z%29%2F%286z%29=0 Start with the given equation


6z%28z%2B1%29%28%281%29%2F%28cross%28%28z%2B1%29%29%29-%286-z%29%2F%28cross%28%286z%29%29%29%29=6z%28z%2B1%29%280%29 Multiply both sides by the LCD 6z%28z%2B1%29. Doing this will clear the fractions.



6z-%28z%2B1%29%286-z%29=0 Distribute and multiply


6z-%28-z%5E2%2B5z%2B6%29=0 Foil


6z%2Bz%5E2-5z-6=0 Distribute


z%5E2%2Bz-6=0 Combine like terms



%28z%2B3%29%28z-2%29=0 Factor the left side (note: if you need help with factoring, check out this solver)



Now set each factor equal to zero:
z%2B3=0 or z-2=0

z=-3 or z=2 Now solve for z in each case


So our answers are

z=-3 or z=2