Solve the quadratic equation (5x - 15)(2x + 6) = 0 using the Zero Product Property. The solutions for x are __________.
Answer & Analysis
Analysis
Question Analysis
The question tests the student's understanding of the Zero Product Property, which states that if the product of two or more factors is zero, then at least one of the factors must be zero. The given quadratic equation is already factored, and the student needs to solve for by setting each factor equal to zero.
Key Concept Explanation
The Zero Product Property is a fundamental concept in solving quadratic equations. It allows us to break down a quadratic equation into linear equations, making it easier to find the solutions.
Step-by-step Solution
1. Given the equation:
2. Apply the Zero Product Property: Set each factor equal to zero.
or
3. Solve each linear equation separately:
For :
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.