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Solve for x: x^2 + 6x + 9 = 0.

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Question: Solve for x: x^2 + 6x + 9 = 0.

Options:

  1. x = -3
  2. x = 3
  3. x = 0
  4. x = -9

Correct Answer: x = -3

Solution: 

This factors to (x + 3)(x + 3) = 0, so x = -3.

Solve for x: x^2 + 6x + 9 = 0.

Practice Questions

Q1
Solve for x: x^2 + 6x + 9 = 0.
  1. x = -3
  2. x = 3
  3. x = 0
  4. x = -9

Questions & Step-by-Step Solutions

Solve for x: x^2 + 6x + 9 = 0.
Correct Answer: -3
  • Step 1: Start with the equation x^2 + 6x + 9 = 0.
  • Step 2: Look for two numbers that multiply to 9 (the last number) and add to 6 (the middle number).
  • Step 3: The numbers 3 and 3 work because 3 * 3 = 9 and 3 + 3 = 6.
  • Step 4: Rewrite the equation using these numbers: (x + 3)(x + 3) = 0.
  • Step 5: This can also be written as (x + 3)^2 = 0.
  • Step 6: To solve for x, set x + 3 = 0.
  • Step 7: Subtract 3 from both sides: x = -3.
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