Verified answer

[tex]7x + 1 = 3 {x}^{2} - 2x + 1 \\ 7x = 3 {x}^{2} - 2x \\ 3 {x}^{2} - 9x = 0 \\ x(3x - 9) \\ x =0 , \: 3x - 9 = 0 \\ x = 0, \: x = 3 [/tex]