The link you posted here is about factoring, not about solving rational equations. Chapter 7 in your link is about rational equations and rational expressions, more in line with what you asked about.

One should find what are wanted in any good College Algebra textbook. I know; because I have reviewed Rational Equations from a couple of older College Algebra books. They are good. Yes! Examples worked out, too. Also check on YouTube for other examples. You will find many.