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Solve For X, Tan X + Tan 2x + Tan 3x = Tan X Tan 2x Tan 3x?

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Tan x + tan 2x+ tan3x=tanx.tan 2x.tan 3x
tanx+ tan 2x= -tan 3x +tan x.tan2x.tan 3x
tanx+tan2x= -tan 3x(1-tanxtan2x) we took -tan3x common
Now cross multiplying
tanx+tan 2x UPON 1-tanx. Tan2x= - tan 3x
which is equal to tan(x+2x)= -tan 3x
tan 3x=-tan 3x
tan3x=0
3x= n pie, therefore x =n pie/3

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