SOLUTION: please help me solve this problem! find the solutions for each equation on [0, 2pi) sin2x + sinx = 0

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Question 887826: please help me solve this problem!
find the solutions for each equation on [0, 2pi)
sin2x + sinx = 0

Answer by Edwin McCravy(20059) About Me  (Show Source):
You can put this solution on YOUR website!
      sin(2x) + sin(x) = 0

2sin(x)cos(x) + sin(x) = 0

     sin(x)[2cos(x)+1] = 0

  sin(x)=0;   2cos(x)+1 = 0
  x=0; x=pi;   2cos(x) = -1
                 cos(x) = -1%2F2
                      x = 2pi%2F3, 4pi%2F3

Edwin