Question

tg^2 x+tgx=0 solves the equation

Answer 1

What do u want to determine?

Answer 2

solves the equation

Answer 3

tan^2 x + tan x = 0. put tan x into factor:
tan x(tan x + 1) = 0. Solve the 2 basis trig equations
a) tan x = 0 -> tan 0 and tan Pi -> x =... and x = ....
b) tan x - 1 = 0 -> tan x = 1 = tan Pi/4 and tan 5Pi/4->
x = .... and x = ....