Excel in math, science, and engineering
If a, b, c and d satisfy the equations
\[a+ 7b + 3c + 5d = 0\\
8a + 4b + 6c + 2d = - 16\\
2a + 6b + 4c + 8d = 16\\
5a + 3b + 7c + d = -16 \\
then what is the value of (a+d)(b+c)+ 25?