Question

Find all solutions to 3x2 + 2x + 1 = 0

Answer 1

are you allowed complex solutions? roots are not real

Answer 2

I can have no solutions

Answer 3

you can use
\[x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\] with
\[a=3,b=2,c=1\] but you will get a negative number under the radical, so two complex solutions, and therefore no real solutions