A quadratic equation is given as . Use the Zero Product Property to find the solutions.
Answer & Analysis
Analysis
Question Analysis
This question evaluates the student's ability to factor a quadratic equation and apply the Zero Product Property to find one of the solutions. The problem provides a quadratic equation in standard form, and the student must factor it and then solve for .
Key Concept Explanation
The Zero Product Property states that if the product of two or more factors equals zero, then at least one of the factors must be zero. For the equation , the first step is to factor it into , and then set each factor equal to zero.
Step-by-step Solution
1. Factor the quadratic equation:
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