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If x^2 + 4x + 4 = 0, what is the value of x?

Practice Questions

Q1
If x^2 + 4x + 4 = 0, what is the value of x?
  1. -2
  2. 2
  3. 0
  4. -4

Questions & Step-by-Step Solutions

If x^2 + 4x + 4 = 0, what is the value of x?
Correct Answer: -2
  • Step 1: Start with the equation x^2 + 4x + 4 = 0.
  • Step 2: Notice that the left side can be factored. Look for two numbers that multiply to 4 and add to 4.
  • Step 3: The numbers 2 and 2 work because 2 * 2 = 4 and 2 + 2 = 4.
  • Step 4: Rewrite the equation as (x + 2)(x + 2) = 0.
  • Step 5: This can be simplified to (x + 2)^2 = 0.
  • Step 6: To solve for x, take the square root of both sides: x + 2 = 0.
  • Step 7: Subtract 2 from both sides to isolate x: x = -2.
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