Compute the length of the major axis of the ellipse \[x^2 + 2y^2 + 6x + 8y = 15.\]
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Compute the length of the major axis of the ellipse \[x^2 + 2y^2 + 6x + 8y = 15.\]
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
8\sqrt2
Compute the length of the major axis of the ellipse \[x^2 + 2y^2 + 6x + 8y = 15.\]
train