Algebra-2

Question Analysis
This problem assesses the ability to solve a rational equation involving fractions with variables in the denominator.

Key Concept Explanation
To solve the rational equation, we need to find a common denominator and eliminate the fractions by multiplying both sides of the equation by the least common denominator (LCD). Then, we solve the resulting quadratic equation and verify the solutions to ensure they do not make the denominator zero.

Step-by-step Solution
1. Find the LCD:
2. Multiply each term by the LCD:
3. Simplify and solve for :
4. Combine like terms:
5. Rearrange and solve:

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