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.

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