Evaluate the discriminant for the equation. Determine the number of real solutions.
6x^2+9x+6=0
The discriminant can be found using the formula:
Discriminant = b^2 - 4ac
In the equation 6x^2 + 9x + 6 = 0, a = 6, b = 9, and c = 6.
Discriminant = (9)^2 - 4(6)(6)
Discriminant = 81 - 144
Discriminant = -63
Since the discriminant is negative, there are no real solutions to this equation.