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cospi(4x+132)/4=-sqrt(2)/2 equation

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Numerical solution:

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The solution

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                          ___ 
cos(p)*I*(4*x + 132)   -\/ 2  
-------------------- = -------
         4                2   
$$\frac{i \left(4 x + 132\right) \cos{\left(p \right)}}{4} = \frac{\left(-1\right) \sqrt{2}}{2}$$
The graph
Rapid solution [src]
                ___ 
            I*\/ 2  
x_1 = -33 + --------
            2*cos(p)
$$x_{1} = -33 + \frac{\sqrt{2} i}{2 \cos{\left(p \right)}}$$
Sum and product of roots [src]
sum
          ___ 
      I*\/ 2  
-33 + --------
      2*cos(p)
$$\left(-33 + \frac{\sqrt{2} i}{2 \cos{\left(p \right)}}\right)$$
=
          ___ 
      I*\/ 2  
-33 + --------
      2*cos(p)
$$-33 + \frac{\sqrt{2} i}{2 \cos{\left(p \right)}}$$
product
          ___ 
      I*\/ 2  
-33 + --------
      2*cos(p)
$$\left(-33 + \frac{\sqrt{2} i}{2 \cos{\left(p \right)}}\right)$$
=
          ___ 
      I*\/ 2  
-33 + --------
      2*cos(p)
$$-33 + \frac{\sqrt{2} i}{2 \cos{\left(p \right)}}$$