Solve the equation \[\sqrt[3]{x} + \sqrt{x+12} = 0\]for $x.$
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the equation \[\sqrt[3]{x} + \sqrt{x+12} = 0\]for $x.$
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
-8
Solve the equation \[\sqrt[3]{x} + \sqrt{x+12} = 0\]for $x.$
train