SOLUTION: Solve for z 6+(5/z-1)=(6/z+3)

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Question 317160: Solve for z
6+(5/z-1)=(6/z+3)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
6%2B5%2F%28z-1%29=6%2F%28z%2B3%29
Multiply both sides by the common denominator, %28z%2B3%29%28z-1%29
6%28z%2B3%29%28z-1%29%2B5%28z%2B3%29=6%28z-1%29
6%28z%5E2%2B2z-3%29%2B5z%2B15=6z-6
6z%5E2%2B12z-18%2B5z%2B15=6z-6
6z%5E2%2B17z-3=6z-6
6z%5E2%2B11z%2B3=0
%282z%2B3%29%283z%2B1%29=0
Two solutions:
2z%2B3=0
2z=-3
highlight%28z=-3%2F2%29
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.
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3z%2B1=0
3z=-1
highlight%28z=-1%2F3%29