Simplify and identify any non-permissible values.

[(3a+15) / (-4a-16)] x [(7a^2+63a+140) / ((a+5)^2)]
Please show all your work. Thank you.

[(3a+15) / (-4a-16)] x [(7a^2+63a+140) / ((a+5)^2)]

=[-3(a+5) / 4(a+4)] x [7(a^2+9a+20) / ((a+5)^2)]
=[-3(a+5) / 4(a+4)] x [7(a+4)(a+5) / ((a+5)^2)]
=[-3 / 4] x [7] = -21/4