Answer :
3cot²x - 5cotx = -2
Lets pretend cotx = t
3t² - 5t = -2
3t² - 5t + 2 = 0
factor polynomial
(3t-2)(t-1) = 0
3t-2 = 0
t-1 = 0
then "t" which is also cotx is equal to 1 or 2/3
Lets pretend cotx = t
3t² - 5t = -2
3t² - 5t + 2 = 0
factor polynomial
(3t-2)(t-1) = 0
3t-2 = 0
t-1 = 0
then "t" which is also cotx is equal to 1 or 2/3