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7*2^(4*x)+3*28^x-4*49^(x)=0 equation

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Numerical solution:

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The solution

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   4*x       x       x    
7*2    + 3*28  - 4*49  = 0
$$- 4 \cdot 49^{x} + \left(7 \cdot 2^{4 x} + 3 \cdot 28^{x}\right) = 0$$
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Numerical answer [src]
x1 = -95.4412124948754
x2 = -27.4412100016064
x3 = -93.4412124948754
x4 = -97.4412124948754
x5 = -61.4412124948754
x6 = -107.441212494875
x7 = -25.4412048596455
x8 = -23.4411891157948
x9 = -101.441212494875
x10 = -69.4412124948754
x11 = -91.4412124948754
x12 = -79.4412124948754
x13 = -85.4412124948754
x14 = -47.441212494841
x15 = -19.4409936690865
x16 = 1.0
x17 = -43.4412124945532
x18 = -99.4412124948754
x19 = -71.4412124948754
x20 = -67.4412124948754
x21 = -31.4412122290313
x22 = -103.441212494875
x23 = -55.441212494875
x24 = -81.4412124948754
x25 = -83.4412124948754
x26 = -65.4412124948754
x27 = -21.4411409321766
x28 = -63.4412124948754
x29 = -35.4412124665304
x30 = -89.4412124948754
x31 = -73.4412124948754
x32 = -15.4391990212905
x33 = -37.4412124856199
x34 = -51.4412124948717
x35 = -57.4412124948753
x36 = -59.4412124948754
x37 = -33.441212408069
x38 = -75.4412124948754
x39 = -39.4412124918532
x40 = -29.4412116807326
x41 = -45.4412124947702
x42 = -17.4405454773487
x43 = -53.4412124948742
x44 = -105.441212494875
x45 = -13.4353166313698
x46 = -41.4412124938885
x47 = -77.4412124948754
x48 = -11.4255891518631
x49 = -87.4412124948754
x50 = -49.4412124948642
x50 = -49.4412124948642