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tg(3*x)+tg(x)=1 equation

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Numerical solution:

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The solution

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tan(3*x) + tan(x) = 1
$$\tan{\left(x \right)} + \tan{\left(3 x \right)} = 1$$
The graph
Sum and product of roots [src]
sum
0
$$0$$
=
0
$$0$$
product
1
$$1$$
=
1
$$1$$
1
Numerical answer [src]
x1 = -31.1958794743848
x2 = -69.8056236561086
x3 = 84.1324163697913
x4 = -94.0277325461807
x5 = -79.230401616878
x6 = 63.7660388964167
x7 = -35.2481044666208
x8 = -74.4640378615342
x9 = -59.4702133566929
x10 = 81.9014560548478
x11 = 37.0085265659444
x12 = 18.1589706444056
x13 = -52.4728892864057
x14 = 96.6987869841505
x15 = -77.605630515124
x16 = 48.0580756284677
x17 = 34.7775662510008
x18 = 88.1846413620273
x19 = -37.4790647815644
x20 = -13.2569558914923
x21 = -81.4613619318215
x22 = 62.1412677946627
x23 = -83.8888158223036
x24 = -21.7711015136154
x25 = -15.4879162064358
x26 = 19.7837417461596
x27 = 70.0492242035963
x28 = -11.6321847897384
x29 = -46.1897039792261
x30 = 68.4244531018423
x31 = -50.0454353959236
x32 = 24.4421559515852
x33 = 15.9280103294621
x34 = 52.7164898338934
x35 = -9.20473089925625
x36 = 6.50323236869271
x37 = -57.2392530417494
x38 = -25.8233265058515
x39 = -39.9065186720465
x40 = -17.915370096918
x41 = -87.7445472390011
x42 = -68.1808525543546
x43 = -85.5135869240575
x44 = -99.5967790902526
x45 = -47.81447508098
x46 = -96.4551864366628
x47 = -75.1781766246419
x48 = 44.2023442117702
x49 = -65.7533986638725
x50 = -63.522438348929
x51 = -19.5401411986719
x52 = 41.7748903212881
x53 = -33.6233333648669
x54 = 4.0757784782106
x55 = 22.2111956366417
x56 = 2.45100737645667
x57 = 37.9191589045906
x58 = 78.759863401258
x59 = -6.06313824566646
x60 = 50.4855295189498
x61 = 85.7571874715452
x62 = 72.4766780940784
x63 = -3.83217793072292
x64 = 90.4156016769709
x65 = 94.4678266692069
x66 = -97.1693251997705
x67 = 12.7864176758723
x68 = 8.73419268363626
x69 = -90.1720011294832
x70 = -24.1985554040975
x71 = -6.97377058431271
x72 = 46.4333045267138
x73 = -72.0365839710521
x74 = 26.0669270533391
x75 = -43.762250088744
x76 = -41.5312897738004
x77 = -91.7967722312371
x78 = -30.4817407112771
x79 = 58.9996751410729
x80 = -28.054286820795
x81 = 28.4943809438213
x82 = 80.9908237162015
x83 = -2.20740682896899
x84 = 100.751011976387
x85 = 92.0403727787248
x86 = 54.3412609356473
x87 = 40.1501192195342
x88 = 98.3235580859044
x89 = 59.9103074797192
x90 = -55.6144819399955
x91 = 15.0173779908158
x92 = 0.220047061513125
x93 = 56.7687148261294
x94 = 32.3501123605187
x95 = -53.1870280495134
x96 = -61.8976672471751
x97 = 30.7253412587648
x98 = 66.1934927868988
x99 = 76.3324095107758
x100 = 74.7076384090219
x101 = 10.3589637853902
x101 = 10.3589637853902