The correct property applied in solving a quadratic equation by factoring is the Zero-Factor Property.

This property states that if the product of two factors is zero, then at least one of the factors must be zero. This allows us to set each factor of a factored quadratic equation equal to zero and solve for the variable.

For example, if we have a factored equation like:

$(x - 3)(x + 5) = 0$

Using the Zero-Factor Property, we set each factor to zero:

$x - 3 = 0 \quad \text{or} \quad x + 5 = 0$

Thus, $x = 3$ or $x = -5$.

Do you want more details or have any questions?

Here are 5 related questions:

1. How do you factor a quadratic equation?
2. What is the difference between solving by factoring and using the quadratic formula?
3. Can all quadratic equations be solved by factoring?
4. What are some common factoring techniques for quadratic equations?
5. How does the Zero-Factor Property relate to the graph of a quadratic function?

Tip: When factoring quadratics, always look for the greatest common factor (GCF) first before applying more advanced methods like grouping or the difference of squares.