SOLUTION: Please help me solve. {{{(3a-5)/(a^2+4a+3)}}}+{{{(2a+2)/(a+3)}}}={{{(a-3)/(a+1)}}} Thank you.

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Question 207635This question is from textbook Introductory Algebra
: Please help me solve.
+=
Thank you.
This question is from textbook Introductory Algebra

Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!

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factors out to be so your equation becomes:

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if you multiply both sides of the equation by you will get:

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if you simplify this you get:

if you subtract from both sides of the equation you get:

if you combine like terms you get:

this factors out to be

or

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when we substitute a = -1 in the original equation we get a division by 0 so a = -1 is no good.
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when we substitute a = -6 in the original equation we get (27) = (27) so a = -6 is good.
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computations for a = -6 are as follows:
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becomes:

which becomes:

if we multiply both sides of the equation by 15 we get:


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