How many real number solutions does the equation have? 0 = -4x^2 + 7 x - 8

We have the following expression:
 0 = -4x ^ 2 + 7 x - 8
 The first thing we must do in this case is to rewrite the expression.
 For this, we use the resolver, where:
 a = -4
 b = 7
 c = -8
 Getting:
 0 = (1/8) * (7 +/- i * root (79))
  
 The equation has NO real solutions.