SOLUTION: solve the equation if possible. 6/x - 2/x+3 = 3(x+5)/x(x+3) i can not figure out how to do this. will you please help thanks

Algebra ->  Permutations -> SOLUTION: solve the equation if possible. 6/x - 2/x+3 = 3(x+5)/x(x+3) i can not figure out how to do this. will you please help thanks      Log On


   

Question 53430: solve the equation if possible.
6/x - 2/x+3 = 3(x+5)/x(x+3)
i can not figure out how to do this. will you please help thanks
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
6/x - 2/x+3 = 3(x+5)/x(x+3)
:
Assume you mean:
:
6%2Fx+-+2%2F%28x%2B3%29+=+3%28x%2B5%29%2Fx%28x%2B3%29
:
Notice that the expression x(x+3) would be the common denominator; each denominator is a factor of x(x+3). If we mult the equation thru by x(x+3) we will effectively get rid of the denominators, we will have:
:
6(x+3) - 2x = 3(x+5)
:
6x + 18 - 2x = 3x + 15
:
6x - 2x - 3x = 15 - 18
:
1x = -3
:
:
However we find there is a problem here: in the term (x+3), if substitute -3 for x, we have 0 in denominators, a big no-no in algebra. I guess you will have to say there is no solution.