help with diophantine equation

I have this equation: 3*n*n = 3*k*k + 73*k + 14

I am interested in the most efficient way to get the solution ( which is
n=32 and k=22 ) besides the trial and error method ( k=1,2,3,,,, then
calculate n ) because for big enough numbers n and k, the trial and error is
useless.

any help will be greatly appreciated.

thanks



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