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How many solutions are there to the equation 2x^2 + 8x = 0?

  1. None

  2. 1

  3. 2

  4. 3

The correct answer is: 2

Since the given equation is a quadratic equation, it can have at most two solutions. In this case, the equation can be factored as 2x(x+4) = 0, which gives us two solutions x = 0 and x = -4. Therefore, the total number of solutions to the equation is two, making option C the correct answer. Option A is incorrect because even though the equation has a zero on one side, the other side has an expression that can be factored and give a non-zero solution. Option B is incorrect because, as explained earlier, the equation has two solutions. Option D is also incorrect because, as mentioned before, the equation has only two solutions, not three.