Solving a quadratic mentally by factoring

The video tutorial demonstrates how to solve a quadratic equation by setting it equal to zero, factoring it, and applying the zero product property. The instructor explains how to identify factors of the quadratic's constant term and middle term, ensuring both factors are positive. The process involves setting up binomials and using the FOIL method to verify the factors. Finally, the instructor solves the equation by applying the zero product property, resulting in the solutions for the quadratic equation.

What is the zero product property and how is it applied?

After applying the zero product property, what are the resulting equations?

What are the final solutions for X after solving the equations?