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Solving Rational Equations

We want to solve the given rational equation. To do so, we will first determine the least common denominator (LCD) so that we can clear the denominators. Since the denominators are already factored, the LCD is the product between them.
Simplify
Note that we have a quadratic equation now. Since the constant term of the equation is missing, we can solve it by factoring and using the Zero Product Property.
Finally, we will check our result for extraneous solutions. To do so, we will substitute and for in the original equation. Let's start with the first one.
Since the denominator cannot be is an extraneous solution. Now, we will check our second solution,
Simplify
The solution to the given equation is