# The question says:"Find all real solutions of the equation":(3/x)-(2/(x-3))=(-12/(x^2-9)) In the text, it says to find the LCD and then expand, eventually moving all terms to the left/setting the equation to zero. From there, it says to factor. Each time I try this out, I get a slightly different solution, and I think I'm skipping up on the very first step, to find the LCD, and possiby still one or two places after that. In the text, the possible solutions are x=3, -9, the only real solution being -9. I understad how they got those, but I'm not sure how they get from the beginning to step 2, with finding the LCD.

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The question says:

"Find all real solutions of the equation":

(3/x)-(2/(x-3))=(-12/(x^2-9))

In the text, it says to find the LCD and then expand, eventually moving all terms to the left/setting the equation to zero. From there, it says to factor. Each time I try this out, I get a slightly different solution, and I think I'm skipping up on the very first step, to find the LCD, and possiby still one or two places after that. In the text, the possible solutions are x=3, -9, the only real solution being -9. I understad how they got those, but I'm not sure how they get from the beginning to step 2, with finding the LCD.

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Step 1

Let us simplify the equation :

Step 2

Now, let us factorize the q...

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