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sin*2x-4sinxcosx+cos*2x=0 equation

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Numerical solution:

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The solution

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sin(2*x) - 4*sin(x)*cos(x) + cos(2*x) = 0
$$\left(- 4 \sin{\left(x \right)} \cos{\left(x \right)} + \sin{\left(2 x \right)}\right) + \cos{\left(2 x \right)} = 0$$
The graph
Sum and product of roots [src]
sum
0
$$0$$
=
0
$$0$$
product
1
$$1$$
=
1
$$1$$
1
Numerical answer [src]
x1 = -4.31968989868597
x2 = -34.164820107789
x3 = -62.4391539900971
x4 = 6.67588438887831
x5 = -79.717913584841
x6 = -51.4435797025329
x7 = 58.5121631731099
x8 = 3.53429173528852
x9 = 36.5210145979813
x10 = -15.3152641862502
x11 = -86.0010988920206
x12 = -29.4524311274043
x13 = -12.1736715326604
x14 = 45.9457925587507
x15 = -21.5984494934298
x16 = -13.7444678594553
x17 = -43.5895980685584
x18 = 1.96349540849362
x19 = 67.9369411338793
x20 = -87.5718952188155
x21 = -57.7267650097125
x22 = -65.5807466436869
x23 = 14.5298660228528
x24 = 97.7820713429823
x25 = 74.2201264410589
x26 = 53.7997741927252
x27 = 94.6404786893925
x28 = -118.987821754713
x29 = 61.6537558266997
x30 = 80.5033117482384
x31 = 23.9546439836222
x32 = -32.5940237809941
x33 = -42.0188017417635
x34 = 30.2378292908018
x35 = 66.3661448070844
x36 = -100.138265833175
x37 = -48.3019870489431
x38 = -84.4303025652257
x39 = 60.0829594999048
x40 = -92.2842841992002
x41 = -64.009950316892
x42 = -5.89048622548086
x43 = 52.2289778659303
x44 = -7.46128255227576
x45 = 22.3838476568273
x46 = -31.0232274541992
x47 = -37.3064127613788
x48 = 69.5077374606742
x49 = -70.2931356240716
x50 = -20.0276531666349
x51 = 44.3749962319558
x52 = 17.6714586764426
x53 = -40.4480054149686
x54 = 28.6670329640069
x55 = -18.45685683984
x56 = -56.1559686829176
x57 = -78.1471172580461
x58 = 16.1006623496477
x59 = -73.4347282776614
x60 = -26.3108384738145
x61 = -71.8639319508665
x62 = 50.6581815391354
x63 = -59.2975613365073
x64 = -3346.97427331823
x65 = 25.5254403104171
x66 = 8.24668071567321
x67 = -27.8816348006094
x68 = -81.2887099116359
x69 = 75.7909227678538
x70 = 31.8086256175967
x71 = 72.649330114264
x72 = -49.872783375738
x73 = 9.8174770424681
x74 = -35.7356164345839
x75 = 82.0741080750334
x76 = 89.9280897090078
x77 = 91.4988860358027
x78 = 88.3572933822129
x79 = 39.6626072515711
x80 = 47.5165888855456
x81 = -93.8550805259951
x82 = -95.42587685279
x83 = 0.392699081698724
x84 = 38.0918109247762
x85 = 83.6449044018282
x86 = 96.2112750161874
x86 = 96.2112750161874