[tex]2 {x}^{3}  - 5 {x}^{2}  + x + 2 = 0[/tex]
[tex]2 {x}^{3}  - 4 {x}^{2}  -  {x}^{2}  + 2x - x + 2 = 0[/tex]
[tex]2 {x}^{2} (x - 2) - x(x - 2) - (x - 2) = 0[/tex]
[tex](x - 2)(2 {x}^{2}  - x - 1) = 0[/tex]
[tex](x - 2)(2 {x}^{2}  - 2x + x - 1) = 0[/tex]
[tex](x - 2)(x - 1)(2x + 1) = 0 [/tex]
[tex]x = 2[/tex]
[tex]x =  1[/tex]
[tex]x =  - 0.5[/tex]