# Math Help - Need help finding solutions

1. ## Need help finding solutions

Find all Solutions
Tan^2 x + Tan x = 0

im having extreme difficulty with this problems

2. Hello, NoAsherelol!

Did you forget your basic algebra?

Find all solutions: . $\tan^2\!x + \tan x \:= \:0$

Factor: . $\tan x(\tan x + 1) \:=\:0$

Then we have: . $\tan x \:=\:0\quad\Rightarrow\quad x \:=\:\pi n$

And: . $\tan x + 1 \:=\:0\quad\Rightarrow\quad \tan x \:=\:-1\quad\Rightarrow\quad x \:=\:\frac{3\pi}{4} + \pi n$