Question: Solve for x in the equation 5x^2 + 10x = 0.
Options:
x = 0, -2
x = 2, -2
x = 0, 2
x = -5, 5
Correct Answer: x = 0, -2
Solution:
Factoring gives 5x(x + 2) = 0. Thus, x = 0 or x + 2 = 0, giving x = -2.
Solve for x in the equation 5x^2 + 10x = 0.
Practice Questions
Q1
Solve for x in the equation 5x^2 + 10x = 0.
x = 0, -2
x = 2, -2
x = 0, 2
x = -5, 5
Questions & Step-by-Step Solutions
Solve for x in the equation 5x^2 + 10x = 0.
Factoring Quadratic Equations – The question tests the ability to factor a quadratic equation and solve for its roots.
Zero Product Property – The question assesses understanding of the zero product property, which states that if the product of two factors is zero, at least one of the factors must be zero.
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