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solve. \\x^2 - 9x = 0\\ \\(x = \\square\\) (simplify your answer. type …

Question

solve.
\\x^2 - 9x = 0\\

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

Explanation:

⚡ Using what you learned: factoring and solving quadratic equations

Step 1: Factor the equation

Factor out the greatest common factor, \(x\), from the left side of the equation:

$$ x(x - 9) = 0 $$

Step 2: Apply the Zero Product Property

Set each factor equal to zero:

$$ x = 0 \quad \text{or} \quad x - 9 = 0 $$

Step 3: Solve for \(x\)

Solve the second equation:

$$ x = 9 $$

Answer:

0, 9