SOLUTION: Hi I have been trying to figure this out but it seems there are no examples in my book or anywhere. The equation is {{{1+1/x=56/x^2}}} also there is a factoring question that I t

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Question 137516: Hi I have been trying to figure this out but it seems there are no examples in my book or anywhere. The equation is
also there is a factoring question that I think I did correctly but it doesn't seem right to me.
It says assume that the expressions given are the denominators of fractions find the LCD.
7a+14, a^2+2a
now I got all the way to 7(a+2) and a(a+2) now is the the LCD (a+2) but then what do I do with the 7 and a? Thanks so much

Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
1) Solve for x:
Combine the terms on the left side.
Multiply both sides by
Cancel an x on the left side.
Perform the indicated multiplication on the left side.
Subtract 56 from both sides.
Factor this quadratic equation.

,
2) Find the LCD of:
and
You are to assume that these expressions are the denominators of fractions, so let's write them that way:
, Now we'll find the LCD. Factor the denominators, as you have done:
, Now you need to make a common denominator, so multiply the first one by a and the second one by 7.
, Now you can see that the LCD is:

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