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Solve the quadratic equation 3x^2 + 12x + 12 = 0.

Practice Questions

Q1
Solve the quadratic equation 3x^2 + 12x + 12 = 0.
  1. x = -2
  2. x = -4
  3. x = 0
  4. x = -6

Questions & Step-by-Step Solutions

Solve the quadratic equation 3x^2 + 12x + 12 = 0.
  • Step 1: Start with the quadratic equation: 3x^2 + 12x + 12 = 0.
  • Step 2: Divide the entire equation by 3 to simplify it: (3x^2)/3 + (12x)/3 + (12)/3 = 0, which simplifies to x^2 + 4x + 4 = 0.
  • Step 3: Now, we need to factor the equation x^2 + 4x + 4.
  • Step 4: Notice that x^2 + 4x + 4 can be written as (x + 2)(x + 2) or (x + 2)^2.
  • Step 5: Set the factored equation equal to zero: (x + 2)(x + 2) = 0.
  • Step 6: To find the value of x, set x + 2 = 0.
  • Step 7: Solve for x by subtracting 2 from both sides: x = -2.
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