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Solve for x: 4x^2 + 8x = 0.

Practice Questions

Q1
Solve for x: 4x^2 + 8x = 0.
  1. x = 0, -2
  2. x = 2, -2
  3. x = 0, 2
  4. x = -4, 0

Questions & Step-by-Step Solutions

Solve for x: 4x^2 + 8x = 0.
  • Step 1: Start with the equation 4x^2 + 8x = 0.
  • Step 2: Look for a common factor in both terms. Here, the common factor is 4x.
  • Step 3: Factor out 4x from the equation. This gives you 4x(x + 2) = 0.
  • Step 4: Set each factor equal to zero. First, set 4x = 0.
  • Step 5: Solve 4x = 0 by dividing both sides by 4. This gives x = 0.
  • Step 6: Now set the second factor x + 2 = 0.
  • Step 7: Solve x + 2 = 0 by subtracting 2 from both sides. This gives x = -2.
  • Step 8: The solutions are x = 0 and x = -2.
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