Solutions

Example 2

Solve.

Step 1. Factor all denominators.

Step 2. Find the LCD.

is the LCD because it is the least common multiple of the three denominators
{(x + 2),(x – 5), and (x+2)(x-5)}.

Step 3. Multiply all terms in the equation by the LCD.

Step 4. Simplify and solve the resulting polynomial equation.

*Remember: you can always check your answers by plugging the solutions into the original equation.