I have trouble in this question...

In this function, f(x) = -4x³ + 6x² + 2

- Find the x and y. Although I found y just by replacing f(0) but x I have some trouble because I need to factorize it, and it seems like It's impossible.

- determine the critical values and indicate what they represent

- determine the intervals of growth and decay point of the function, any max or min, the concavity intervals and any inflection point.