The property applied in solving a quadratic equation by factoring is the Zero-Factor Property (also known as the Zero-Product Property). This property states that if the product of two factors is zero, then at least one of the factors must be zero. Mathematically, it is expressed as:

$ab = 0 \implies a = 0 \text{ or } b = 0$

In solving a quadratic equation by factoring, the quadratic is rewritten as a product of two binomial factors. Then, the Zero-Factor Property is used to set each factor equal to zero, allowing us to find the solutions to the equation.

Would you like more details on how to apply this property in a specific problem?

5 Related Questions:

1. How do you factor a quadratic equation?
2. What are the steps in solving quadratic equations by factoring?
3. How does the Zero-Factor Property differ from the Square Root Property?
4. Can all quadratic equations be solved by factoring?
5. What happens if a quadratic equation cannot be factored?

Tip: Always check if the quadratic equation can be factored before applying the Zero-Factor Property; not all quadratics can be easily factored.