SOLUTION: please help me find the real values of x {{{2/(3-x)=1/3-1/x}}}

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Question 375303: please help me find the real values of x
2%2F%283-x%29=1%2F3-1%2Fx
Found 2 solutions by Jk22, mananth:
Answer by Jk22(389) About Me  (Show Source):
You can put this solution on YOUR website!
2%2F%283-x%29=1%2F3-1%2Fx LCM of 3-x, 3 and x is 3x(3-x), multiply with

2%2A3x+=+%283-x%29x+-+3%283-x%29 expand

6x+=+3x+-+x%5E2+-9+%2B+3x collect

6x+=+6x+-x%5E2+-9 simplify : sub 6x

x%5E2+=+-9 hence there are no real value of x that satisfy the equation.

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
2%2F%283-x%29=1%2F3-1%2Fx
...
2%2F%283-x%29%2B1%2Fx=1%2F3
...
LCD = x(3-x)
..
%282x%2B%281%283-x%29%29%29%2F%28x%283-x%29%29=1%2F3
...
%282x%2B3-x%29%2F%28x%283-x%29%29=1%2F3
...
%28x%2B3%29%2F%28x%283-x%29%29=1%2F3
multiply by x(3-x)
%28x%2B3%29%28cross%28x%283-x%29%29%29%2F%28cross%28x%283-x%29%29%29=%28x%283-x%29%29%2F3
multiply by 3
3(x+3)=3x-x^2
3x+9=3x-x^2
x^2 +9=0
x^2= -9
No real values
...
m.ananth@hotmail.ca