SOLUTION: Problem is: {{{(8)/(2m+1)-(1)/(m-2)=(5)/(2m+1)}}} I've tried several ways, but can't come up with an answer that fits in the slot for "m". Is this unsolvable? My most current a

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Problem is: {{{(8)/(2m+1)-(1)/(m-2)=(5)/(2m+1)}}} I've tried several ways, but can't come up with an answer that fits in the slot for "m". Is this unsolvable? My most current a      Log On


   

Question 288344: Problem is:
%288%29%2F%282m%2B1%29-%281%29%2F%28m-2%29=%285%29%2F%282m%2B1%29
I've tried several ways, but can't come up with an answer that fits in the slot for "m". Is this unsolvable?
My most current attempt at a solution:
%288%29%2F%282m%2B1%29-%285%29%2F%282m%2B1%29=%281%29%2F%28m-2%29 by adding %281%29%2F%28m-2%29 to the left side and subtracting %285%29%2F%282m%2B1%29 from the left and adding it to the right side.
This equals %283%29%2F%282m%2B1%29=%281%29%2F%28m-2%29
I then tried multiplying each side by (m-2) which brought me to
%283m-6%29%2B%282m%2B1%29%28m-2%29=1
and broken down even further, this comes to
3m-6%2B%282m%5E2-4m%2Bm-2%29=1
which breaks down to
3m%2Bm-4m=0m and -6-2=-8 with 2m%5E2 left to fend for himself.
all that makes 2m%5E2-8=1
so I added the -8 to each side and got
2m%5E2=9
Now I'm not sure what to do (if I've even been doing it right so far)
Do I divide each side by 2 to break up the 2m%5E2 or am I already too far gone?
I could try moving the 9 back over to the left side and trying a quadratic formula, but these numbers just don't look right together. The last three problems were unsolvable, which leaves me questioning whether or not this one is, too, and if not, was I wrong on all of the other ones??
Any suggestions on what I should change or how to fix whatever I'm doing wrong?
Any help is appreciated, thank you!
Found 2 solutions by Alan3354, richwmiller:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Problem is:
%288%29%2F%282m%2B1%29-%281%29%2F%28m-2%29=%285%29%2F%282m%2B1%29
-------------------
Multiply thru by (2m+1)*(m-2)
8(m-2) - (2m+1) = 5(m-2)
8m-16 - 2m-1 = 5m-10
6m - 17 = 5m-10
m = 7

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
m=7
%288%29%2F%282m%2B1%29-%281%29%2F%28m-2%29=%285%29%2F%282m%2B1%29

%286m-17%29%2F%28%28m-2%29%2A%282m%2B1%29%29=%285m-10%29%2F%282m%2B1%29%28m-2%29
6m-17=5m-10
m=7
Where did you go wrong??
(3)/(2m+1)=(1)/(m-2) is good.
(3m-6)+(2m+1)(m-2)=1 this is bad
(3)/(2m+1)=(1)/(m-2) should be
3(m-2)=2m+1
3m-6=2m+1
subtract 2m from both sides
m-6=1
m=7