The discriminant is part of the quadratic formula. If the value of the discriminant is less than 0, you have 2 imaginary solutions; if the discriminant is equal to 0, you have 1 real solution; if the discriminant is greater than 0, you have 2 real solutions.
The discriminant is , which for us, looks like this:
which simplifies to -63. That means that the solutions are imaginary...not real at all. So in answer to your question, there are no real zeros at all.