An **extraneous solution **is a root of a transformed equation that is not a root of the original equation because it was excluded from the domain of the original equation.

**Example:**

But 2 is excluded from the domain of the original equation because it would make
the denominator of one of the fractions zero--and division by zero is not allowed! . Therefore, it cannot be a root of the original equation. So, 2 is an **extraneous solution.
**So, the equation has no solutions.

**Example:**

Check your solutions in the original equation.

So, 5 is a solution. Hence, 0 is an **extraneous solution.**