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tg^27x+13tg7x-14=0 equation

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Numerical solution:

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The solution

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   27                          
tan  (x) + 13*tan(7*x) - 14 = 0
$$\left(\tan^{27}{\left(x \right)} + 13 \tan{\left(7 x \right)}\right) - 14 = 0$$
The graph
Sum and product of roots [src]
sum
0
$$0$$
=
0
$$0$$
product
1
$$1$$
=
1
$$1$$
1
Numerical answer [src]
x1 = 54.2473818583753
x2 = -25.464051853621
x3 = -61.9915463244471
x4 = 87.6332836756116
x5 = 94.365267933304
x6 = -43.8648088246469
x7 = 50.3829707830469
x8 = -19.6265165760903
x9 = -87.847105974904
x10 = -63.6088137263474
x11 = 100.199654289971
x12 = -47.4552004287495
x13 = -75.7295343110577
x14 = -41.6176651512188
x15 = 72.3741193581754
x16 = 82.2476962446176
x17 = -71.6903437812823
x18 = -9.75608858567201
x19 = 62.5005424468932
x20 = 66.0909340509959
x21 = -93.6814923564108
x22 = 32.2562332832468
x23 = 28.3918222079183
x24 = 40.5093938717647
x25 = 25.9730479760672
x26 = 9.99106521205233
x27 = -91.4374975790066
x28 = 69.9553451263243
x29 = -53.7383857359291
x30 = 60.256547669489
x31 = 16.2742505192319
x32 = -97.7206828861862
x33 = 47.9641965511957
x34 = -65.8559573997755
x35 = -85.599962301476
x36 = -15.5904749423388
x37 = 22.1086369007387
x38 = -21.8736602495184
x39 = 0.117488325610197
x40 = 24.3557805741668
x41 = 75.964510937438
x42 = 44.0997854758673
x43 = 46.3469291492954
x44 = 90.3292262995525
x45 = -33.9912319382048
x46 = 78.2085057148422
x47 = -99.9646776635904
x48 = -77.9735290884619
x49 = -49.6991952061537
x50 = 84.4916910220218
x51 = 91.9464937014528
x52 = 3.98189940093861
x53 = 12.2350599894565
x54 = -0.331310624902629
x55 = -59.5727720925959
x56 = -40.0003977493185
x57 = 38.2653990943605
x58 = -82.0127196182373
x59 = -5.71689805589664
x60 = -69.4463490038781
x61 = 68.3380777244239
x62 = 97.9556595125665
x63 = 18.5182452966361
x64 = -12.0000833630762
x65 = 6.40067363278978
x66 = -31.7472371608006
x67 = -27.7080466310252
x68 = -55.9823805133333
x69 = 2.36463199903826
x70 = -37.5816235174673
x71 = -83.9826948995756
x72 = 56.2173571397136
x73 = 34.2262085645851
x74 = -18.0092491741899
x74 = -18.0092491741899