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.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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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