Solve the quadratic equation (4x - 8)(2x + 10) = 0 using the Zero Product Property. The solutions are __________.
Answer & Analysis
Analysis
Question Analysis
This question tests the application of the Zero Product Property to solve a quadratic equation. The equation is already factored, so 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 factors is zero, then at least one of the factors must be zero. This property is used to solve quadratic equations by setting each factor equal to zero.
Step-by-step Solution
1. Given the equation , apply the Zero Product Property.
2. Set each factor equal to zero: and .
3. Solve the first equation:
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