Question 465506
1) The equation is NOT in STANDARD FORM, that is, one side of the equation is not equal to zero, (so can't use the zero-product property just yet), and
2) Use the quadratic formula only for quadratic equations or for equations that are transformable to a quadratic equation.

{{{2x^3-4x^2+x = 2}}} <==> {{{2x^3-4x^2+x - 2=0}}}

<==> {{{2x^2(x - 2) + 1*(x-2) = 0}}}
<==> {{{(2x^2 + 1)(x-2) = 0}}}

==> x = 2 (from the factor x-2).

(There are NO REAL solutions from the factor {{{2x^2 + 1}}}.)