Using the zero product property to solve

The video tutorial explains how to solve a quadratic equation by identifying factors that multiply to zero. The instructor demonstrates setting each factor equal to zero to find the solutions for the variable m. The solutions are verified by substituting them back into the original equation, confirming that they satisfy the equation. The focus is on understanding the zero product property and solving equations without expanding them into trinomials.

What is the significance of the problem stating to solve each equation?

How does plugging in the values of m verify the solutions?