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-0,9*x-arctg(10*x)-arctg(0.5*x)=-3*pi/8 equation

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Numerical solution:

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  9*x                    /x\   -3*pi
- --- - atan(10*x) - atan|-| = -----
   10                    \2/     8  
$$\left(- \frac{9 x}{10} - \operatorname{atan}{\left(10 x \right)}\right) - \operatorname{atan}{\left(\frac{x}{2} \right)} = \frac{\left(-1\right) 3 \pi}{8}$$
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Numerical answer [src]
x1 = 0.146779929394474
x1 = 0.146779929394474