Example: Solve the rational equation.
Since we are solving a rational equation we need to first find the restrictions (the values of x that cause the expression to be undefined).
To find the restrictions create an equation by setting each denominator equal to zero and solving.
Having x=3 causes a zero in the denominator and the overall expression undefined. That makes 3 a restricted value .
With the restriction in mind we will solve the equation.
|Multiply each side of the equation by the least common multiple of the denominators. For this equation the least common multiple is|
|Distribute the least common multiple to each term.|
|Simplify by canceling the common factors. This should clear any denominators.|