Given the quadratic equation (x - 12)(4x + 20) = 0, use the Zero Product Property to find the solutions for x.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to apply the Zero Product Property to solve a quadratic equation. The equation is given in factored form, and students need to set each factor equal to zero and solve for .
Key Concept Explanation
The Zero Product Property states that if the product of two or more factors is zero, then at least one of the factors must be zero. Here, the factors are and .
Step-by-step Solution
1. Set each factor equal to zero: and .
2. Solve the first equation: .
Add 12 to both side...
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