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# Algebraic fraction help watch

1. The question is

Solve 3/x+5 - 1/x+4=1/2

I've done my working out to a point where the equation is

4x+14 / 2x^2+18x+40=1

I've done this a couple of times now and I basically multiply out out the denominator and work until I have a quadratic equation but I always seem get stuck so I checked the mark scheme and I was right up until ^ that point because on the mark scheme it says

x^2+5x+6=0

But I don't know where this has come from exactly and it's beginning annoy me a little so could someone please explain.

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2. (Original post by TinM)
I've done my working out to a point where the equation is

4x+14 / 2x^2+18x+40=1
When you multiplied through by 2, you only needed to multiply the numerators, NOT the denominator as well.
3. (Original post by ghostwalker)
When you multiplied through by 2, you only needed to multiply the numerators, NOT the denominator as well.
Oh! I get it now thank you

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Updated: May 14, 2013
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