i am wondering if there is a complete solution for the equation $a^2+pb^2-2c^2-2kcd+(p+k^2)d^2=0$ in which $a,b,c,d,k$ are integer(not all zero) and $p$ is odd prime.
solution of the equation $a^2+pb^2-2c^2-2kcd+(p+k^2)d^2=0$
M.S
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