SOLUTION: Please help me solve this equation: {{{tan^3(x)-3tanx=0}}}

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Question 775658: Please help me solve this equation: tan%5E3%28x%29-3tanx=0
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
tan%5E3%28x%29-3tanx=0
tanx%28tan%5E2%28x%29-3%29=0
tanx=0 or tan%5E2%28x%29-3=0
x=pi%2Ak, k is an integer
or tan%5E2%28x%29=3
tanx=+sqrt%283%29 or tanx=-sqrt%283%29
x=+pi%2F3%2Bpi%2An, n is an integer
x=+-pi%2F3%2Bpi%2Am, m is an integer
Answer: x=pi%2Ak. x=+%2B-+pi%2F3%2Bpi%2An,x=+-pi%2F3%2Bpi%2Am, k,n,m are integers