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What is the solution to the equation 4x^2 + 8x + 4 = 0?

Practice Questions

Q1
What is the solution to the equation 4x^2 + 8x + 4 = 0?
  1. x = -1
  2. x = -2
  3. x = 1
  4. x = 0

Questions & Step-by-Step Solutions

What is the solution to the equation 4x^2 + 8x + 4 = 0?
  • Step 1: Start with the equation 4x^2 + 8x + 4 = 0.
  • Step 2: Notice that all terms can be divided by 4. So, divide the entire equation by 4 to simplify it: x^2 + 2x + 1 = 0.
  • Step 3: Now, look for two numbers that multiply to 1 (the constant term) and add up to 2 (the coefficient of x). The numbers are 1 and 1.
  • Step 4: Rewrite the equation using these numbers: (x + 1)(x + 1) = 0.
  • Step 5: This can also be written as (x + 1)^2 = 0.
  • Step 6: To find the value of x, set (x + 1) = 0.
  • Step 7: Solve for x by subtracting 1 from both sides: x = -1.
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