Your answer is x = 1/3 or x = -1 To solve I would start by expanding the bracket and then collecting like-terms, and then re-factoring: (3x - 1)² + 12x - 4 = 0 9x² - 6x + 1 + 12x - 4 = 0 9x² + 6x - 3 = 0 3(3x² + 2x - 1) = 0 From here you can factorise the bracket even further: 3(3x - 1)(x + 1) = 0 Then divide by 3: (3x - 1)(x + 1) = 0 3x - 1 = 0 x = 1/3
x + 1 = 0 x = -1 I hope this helps! Let me know if you have any questions :)