For which values of $k$ does the quadratic $kx^2 - 3kx + 4k + 7 = 0$ have real roots?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
For which values of $k$ does the quadratic $kx^2 - 3kx + 4k + 7 = 0$ have real roots?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
[-4,0)
For which values of $k$ does the quadratic $kx^2 - 3kx + 4k + 7 = 0$ have real roots?
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