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3sin^2(3x)-2,5sin(6x)+1=0 equation

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Numerical solution:

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The solution

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     2        5*sin(6*x)        
3*sin (3*x) - ---------- + 1 = 0
                  2             
$$\left(3 \sin^{2}{\left(3 x \right)} - \frac{5 \sin{\left(6 x \right)}}{2}\right) + 1 = 0$$
The graph
Sum and product of roots [src]
sum
0
$$0$$
=
0
$$0$$
product
1
$$1$$
=
1
$$1$$
1
Numerical answer [src]
x1 = -78.4581567853692
x2 = -47.9092879672443
x3 = 68.1495003821545
x4 = -76.1836218495525
x5 = 50.3471420118123
x6 = 415.819087379425
x7 = -65.7116463375865
x8 = -98.174770424681
x9 = 0.261799387799149
x10 = -91.0245273997284
x11 = -39.7118473910951
x12 = 24.1672032318974
x13 = 18.0641577581413
x14 = 52.4415371142055
x15 = 11.6008326175382
x16 = -91.8915851175014
x17 = -63.7973910686168
x18 = -13.3517687777566
x19 = 22.2529479629277
x20 = 74.4326856893341
x21 = -3.92699081698724
x22 = -59.6086008638305
x23 = -93.9859802198946
x24 = -76.363761682976
x25 = 89.27359123951
x26 = 40.0553063332699
x27 = -61.7029959662236
x28 = -25.9181393921158
x29 = 13.8753675533549
x30 = 2.17605465676882
x31 = -17.7206988159665
x32 = 96.4238342644626
x33 = 48.2527469094191
x34 = -103.410758180664
x35 = 26.2615983342906
x36 = 43.0167591534361
x37 = -21.7293491873294
x38 = 66.2352451131848
x39 = -71.9948316447661
x40 = 77.5742783429239
x41 = 84.037603483527
x42 = -6.02138591938044
x43 = 37.9609112308767
x44 = 88.2263936883134
x45 = 70.2438954845477
x46 = 19.978413027111
x47 = 15.9697626557481
x48 = -45.9950326982747
x49 = 4.27044975916201
x50 = 86.1319985859202
x51 = 57.857664703612
x52 = -96.0803753222878
x53 = -15.6263037135733
x54 = -28.012534494509
x55 = 46.1583518070259
x56 = -85.7885396437454
x57 = 72.3382905869409
x58 = 94.3294391620694
x59 = 62.0464549083984
x60 = -87.7027949127151
x61 = -30.1069295969022
x62 = 20.1585528605345
x63 = -57.3340659280137
x64 = -83.6941445413522
x65 = -43.720497762458
x66 = 44.2440965380563
x67 = 8.63937979737193
x68 = -69.9004365423729
x69 = -17.540558982543
x70 = -74.0892267471593
x71 = -52.0980781720307
x72 = -19.8150939183597
x73 = 6.36484486155521
x74 = -8.11578102177363
x75 = 34.8193185772869
x76 = 64.1408500107916
x77 = -41.8062424934883
x78 = 55.5831297677953
x79 = -81.599749438959
x80 = 81.9432083811338
x81 = 28.3559934366838
x82 = 59.9520598060052
x83 = -10.3903159575904
x84 = 79.8488132787406
x85 = -54.1924732744239
x86 = -24.0038841231461
x87 = -50.0036830696375
x88 = -37.6174522887019
x89 = 33.5919811926668
x90 = -2.01273554801757
x91 = 92.2350440596762
x92 = -32.3814645327189
x93 = 35.8665161284835
x94 = -35.3429173528852
x94 = -35.3429173528852