How to solve a quadratic by factoring in your head

The video tutorial explains how to solve a quadratic equation by factoring. It begins with an introduction to the problem and the method of factoring. The instructor discusses how to identify factors of -24 that multiply to give -24 and add to give -10. The importance of the middle term's negativity is highlighted, indicating that the larger factor must be negative. The correct factors, -12 and 2, are identified, and the equation is solved using the zero product property, resulting in solutions x = 12 and x = -2.

What is the 0 product property and how is it applied in solving quadratic equations?

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Describe the steps taken to solve the quadratic equation presented in the text.

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