6a(11a+5)=
Using the distributive property, we have
6a(11a) + 6a(5) =
66a2 + 30a
6a(11a+5)=0
(6a * 11a) + (6a * 5)=0
66a^2 + 30a=0
66a^2 = -30a
66a^2/a = -30
66a = -30
a = -30/66 or -5/11
Anonymous has answered correctly if we were setting the original expression = 0. That wasn't indicated in the question, but it may have been intended......I can't say......