Thanks, your comprehension is very appreciated
I am trying to solve a second excercice as you did, but
I got lost in third line. I don't know where the numerator 10 should
go from the second to 3hd line
H(s) = 10/(s+7) * (s+8)
y(s) = H(s) * X(s) = 10/([s+7] * [s+8]) * X(s)
([s+7] * [s+8]) Y(s) = X(s)
Thank you. Now I know how to move the numerator
I have this last one
I am stuck in line 3 because I'm in doubt if I can sum s^3 + 8s^2 and 9s or let it be
s+2/s^3 + 8s^2 +9s +15
y(s)= H(s) X(s) = s+2/s^3 + 8s^2 +9s +15 * X(s)
(s^3 + 8s^2 +9s +15) * Y(s) = s+2 * X(s)