Solve 2x^2=3x+2 by graphing. If exact roots can't be found, state the consecutive integers between which the roots are located.

Can you show how to do this step by step?

2x^2 -3x -2 = 0 can be factored as

(2x+1)(x-2) = 0
This is satisfied when x=-1/2 or x=2
We can't draw graphs for you here. You can do that yourself by making a plot of y = 2x^2 -3x -2 vs. x and seeing where it crosses the x axis.