these type always confuse me.
solve: 3y^2 +6y + 2=0
this cannot be factored. use the quadratic formula.
what is the quadratic formula?
The solutions to the equation $\displaystyle ax^2 + bx + c = 0$ are given by the formula:
$\displaystyle x = \frac {-b \pm \sqrt{b^2 - 4ac}}{2a}$
this is called the quadratic formula. of course, here you have y instead of x, but that doesn't matter