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tg(15pi/4(x)/5)=-(x)/5 equation

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Numerical solution:

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The solution

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   /15*pi  \      
   |-----*x|      
   |  4    |   -x 
tan|-------| = ---
   \   5   /    5 
$$\tan{\left(\frac{x \frac{15 \pi}{4}}{5} \right)} = \frac{\left(-1\right) x}{5}$$
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Numerical answer [src]
x1 = 7.58079484887289
x2 = -12.8244432526151
x3 = -3.72808280361538
x4 = 0.0
x5 = -10.1935426355953
x6 = -6.28520672462741
x7 = 14.1442116863287
x8 = 1.23088927426533
x9 = 8.88422666460662
x10 = 3.72808280361538
x11 = -2.47180728216063
x12 = -8.88422666460662
x13 = 2.47180728216063
x14 = -7.58079484887289
x15 = -1.23088927426533
x16 = 11.5072983452183
x17 = -5.0
x18 = 6.28520672462741
x19 = 5.0
x19 = 5.0