Answer:
No real solutions.
Explanation:
We need to solve the following equation: 3x^2 + 6x + 6 = 0
First, we should divide the whole equation by 3:
3x^2 + 6x + 6 = 0 ⇒ x^2 + 2x + 2 = 0
Now, the equation has no real results. It happens because the polynomial never crosses the x-axis. (See graph attached).
The imaginary solution is:
x = -1 + i
x= -1 - i