A quadratic equation is given as (x - 10)(x + 5) = 0. Use the Zero Product Property to find the values of x.
Answer & Analysis
Analysis
Question Analysis
The question tests the application of the Zero Product Property to solve a quadratic equation. 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. This property is used to solve quadratic equations by factoring them into linear factors.
Step-by-step Solution
1. Given the equation
2. Apply the Zero Product Property: Set each factor equal to zero.
For the first factor:
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