SOLUTION: The question is to show a solution set {{{highlight_green(2/( 3 + x) + 4 / ( 2x + 2 ) = 10) }}} So I do this? {{{( 4x + 4 + 12 + 4x ) / ( 2x^2 + 8x + 6 ) = 10}}} {{{8x +

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Question 976116: The question is to show a solution set

So I do this?




Did I do this right? If so what do I do after this point, I don't really understand. If I did this completely wrong please feel free to show what I'm to do.

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39616)   (Show Source): You can put this solution on YOUR website!
In general it looks good, but I have not worked through the steps carefully all the way.

Denominator on the left member is correct in first step.

Now looking at numerator




revise equation

, and now subtract 8x and 6 from both sides.
, so you made a mistake.
reduce.


Solution formula for a general quadratic equation will bring the solution for what is x.


===continuing===

Discriminant is 216.
Factorization of .

-----You can test to see if either of these individually will work in the original equation outlined in green.
Answer by MathTherapy(10551)   (Show Source): You can put this solution on YOUR website!
The question is to show a solution set

So I do this?




Did I do this right? If so what do I do after this point, I don't really understand. If I did this completely wrong please feel free to show what I'm to do.
Almost!!

You're right up to this point: 

After this, it should be: 

Factoring out GCF, 4 should then give: 

Now you can solve for x by using the quadratic equation or by completing the square. When complete,

you should get 2 negative roots/zeroes.



You made an error and the person who decided to help you (jos....) made an error too. Go figure!!



Good job in ALMOST determining the correct trinomial!! 

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