Find all the solutions to
\[\sqrt{3x^2 - 8x + 1} + \sqrt{9x^2 - 24x - 8} = 3.\]Enter all the solutions, separated by commas.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Find all the solutions to
\[\sqrt{3x^2 - 8x + 1} + \sqrt{9x^2 - 24x - 8} = 3.\]Enter all the solutions, separated by commas.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
3, -\frac{1}{3}
Find all the solutions to
\[\sqrt{3x^2 - 8x + 1} + \sqrt{9x^2 - 24x - 8} = 3.\]Enter all the solutions, separated by commas.
train