A class of Diophantine equation

ax

2

+by

2

+cz

2

=m+dxyz

was considered. Based on the definition of the fundamental solution

with the help of the binary quadratic forms and the fundemental mathmatical knowledge

all of the possibilities of positive integers a

b

c

d and nonnegative integer m in the equation could be figured out when ald

bld and cld. And meanwhile

the corresponding fundamental solution was computed in each case. By these fundamental solutions

many integer solutions of every equation can be derived.