How Do You Solve a Rational Equation With an Extraneous Solution?

You've got some algebraic fractions in an equation and their denominators are all different. Well, first you need to strategize. Then find the excluded values that make your denominator equal zero because we know the denominator cannot ever be zero. Next find a least common denominator for all three terms. Multiply the terms. Then simplify. Now you are getting closer to solving the equation. You solved it and have a value for your variable. But now you need to check it, and don't forget about your excluded values. Uh oh... what happened, no solution?

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