Find all real values of $t$ which satisfy \[\frac{t(2t-3)}{4t-2} \le 0.\]
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Find all real values of $t$ which satisfy \[\frac{t(2t-3)}{4t-2} \le 0.\]
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
(-\infty, 0] \cup (\tfrac12, \tfrac32]
Find all real values of $t$ which satisfy \[\frac{t(2t-3)}{4t-2} \le 0.\]
train