Apply zero product property to solve a factored quadratic equation

The video tutorial explains the zero product property, emphasizing that it applies only when the product of two expressions equals zero. It demonstrates solving equations using inverse operations, such as subtracting and multiplying by reciprocals, to isolate variables. The tutorial verifies solutions by substituting values back into the original expressions, confirming that the product equals zero. The key solutions are identified as x = 6 and x = -1/2, which satisfy the zero product condition.

What happens when you plug in the value of 6 into the expression derived from the equation?

Discuss the significance of multiplying by zero in the context of the solutions found.