The graph of this system of equations is used to solve 4x^2-3x+6=2x^4-9x^3+2x

To get the solution of the 2 equations, the graphs are plotted on a grid. Since we are told that, 4x^2-3x+6=2x^4-9x^3+2x, then solution set is found  where the two graphs intersect. 
Since we need both values of x and y, the solution set is represented by;
y coordinates of the intersection points and
x coordinates of the intersection points.