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sinx+1/2*sin2x=0 equation

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Numerical solution:

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The solution

You have entered [src]
         sin(2*x)    
sin(x) + -------- = 0
            2        
$$\sin{\left(x \right)} + \frac{\sin{\left(2 x \right)}}{2} = 0$$
The graph
Rapid solution [src]
x1 = 0
$$x_{1} = 0$$
x2 = pi
$$x_{2} = \pi$$
x2 = pi
Sum and product of roots [src]
sum
pi
$$\pi$$
=
pi
$$\pi$$
product
0*pi
$$0 \pi$$
=
0
$$0$$
0
Numerical answer [src]
x1 = -97.3894529845737
x2 = -65.9734547074718
x3 = -37.6991118430775
x4 = -72.2565620594227
x5 = 84.8228826659845
x6 = -59.6902836920888
x7 = -56.5486677646163
x8 = 12.5663706143592
x9 = -81.6814089933346
x10 = -31.4159265358979
x11 = 9.42490616313103
x12 = 94.2477796076938
x13 = 0.0
x14 = -87.9645943005142
x15 = 81.6814089933346
x16 = -53.4071523808127
x17 = -75.398223686155
x18 = 62.8318530717959
x19 = -28.2742611423571
x20 = 65.9735385828884
x21 = 100.530964914873
x22 = -1083.8495084391
x23 = 72.2566368440238
x24 = 21.9912781084223
x25 = 75.398223686155
x26 = 65.9734548161256
x27 = 6.28318530717959
x28 = -6.28318530717959
x29 = 97.389506033414
x30 = 31.4159265358979
x31 = -59.6902757594272
x32 = 40.8405826017537
x33 = 53.4072061236969
x34 = 78.5397496778866
x35 = 18.8495559215388
x36 = -94.2477796076938
x37 = 72.2564974285085
x38 = 56.5486677646163
x39 = -25.1327412287183
x40 = -15.7079741551755
x41 = 15.7080397066029
x42 = -91.1063173161218
x43 = -50.2654824574367
x44 = 87.9645943005142
x45 = -100.530964914873
x46 = -43.9822971502571
x47 = 50.2654824574367
x48 = 28.2743275355147
x49 = 72.2566292957295
x50 = -78.5396939083992
x51 = -69.1150383789755
x52 = -12.5663706143592
x53 = 59.6903404916682
x54 = -34.5573938477265
x55 = 37.6991118430775
x56 = -9.42485173622935
x57 = -15.7080226365019
x58 = 28.2742362262029
x59 = -21.9911516405744
x60 = -3.14171741723949
x61 = -47.1240173901594
x62 = 34.557448949744
x63 = 21.9911516419074
x64 = 43.9822971502571
x64 = 43.9822971502571