URGENT!! A shipping container in the shape of a rectangular solid must have a volume of 3/2 cubic feet. The client tells the manufacturer that, because of the contents, the length of the container must be one meter longer than the width, and the height must be one meter greater than twice the width. Find the dimensions of the container by

Show that the width satisfies the equation f(x)=4x^3+6x^2+2x-3=0
Find the rational root and two imaginary roots of f(x). (Start by listing all rational root candidates)
The width is the rational root.