Question

solve the equation.

\\((x - 5)(x - 2) = 0\\)

\\(x = \square\\)

(simplify your answer. type each solution only once. use a comma to separate answers as needed.)

Explanation:

🆕 New Concept Discovered: Zero Product Property
If two numbers multiply to zero, at least one must be zero.

Step 1: Apply the Zero Product Property

Set each individual factor equal to zero:

$$ x - 5 = 0 \quad \text{or} \quad x - 2 = 0 $$

Step 2: Solve each linear equation

Solve for \( x \) in both equations:

$$ x = 5 $$

$$ x = 2 $$

Answer:

\( 5, 2 \)