The graphs of f(x)=x36x2+9x+2\displaystyle {f{{\left({x}\right)}}}={x}^{{3}}-{6}{x}^{{2}}+{9}{x}+{2} and g(x)=3x215x+18\displaystyle {g{{\left({x}\right)}}}={3}{x}^{{2}}-{15}{x}+{18} intersect at two points. At one of those intersections, the graphs are tangent to each other (meaning they have a common tangent line). Find the coordinates of that point.



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