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f=f*x-2 la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
f = f*x - 2
$$f = f x - 2$$
Simplificar
Solución detallada
Tenemos una ecuación lineal:
f = f*x-2

Dividamos ambos miembros de la ecuación en f/x
x = -2 + f*x / (f/x)

Obtenemos la respuesta: x = (2 + f)/f
Resolución de la ecuación paramétrica
Se da la ecuación con parámetro:
$$f = f x - 2$$
Коэффициент при x равен
$$- f$$
entonces son posibles los casos para f :
$$f < 0$$
$$f = 0$$
Consideremos todos los casos con detalles:
Con
$$f < 0$$
la ecuación será
$$x + 1 = 0$$
su solución
$$x = -1$$
Con
$$f = 0$$
la ecuación será
$$2 = 0$$
su solución
no hay soluciones
Gráfica
Respuesta rápida [src] 
                                                      2                           
       /  im(f)*re(f)     (2 + re(f))*im(f)\        im (f)       (2 + re(f))*re(f)
x1 = I*|--------------- - -----------------| + --------------- + -----------------
       |  2        2         2        2    |     2        2         2        2    
       \im (f) + re (f)    im (f) + re (f) /   im (f) + re (f)    im (f) + re (f)
$$x_{1} = i \left(- \frac{\left(\operatorname{re}{\left(f\right)} + 2\right) \operatorname{im}{\left(f\right)}}{\left(\operatorname{re}{\left(f\right)}\right)^{2} + \left(\operatorname{im}{\left(f\right)}\right)^{2}} + \frac{\operatorname{re}{\left(f\right)} \operatorname{im}{\left(f\right)}}{\left(\operatorname{re}{\left(f\right)}\right)^{2} + \left(\operatorname{im}{\left(f\right)}\right)^{2}}\right) + \frac{\left(\operatorname{re}{\left(f\right)} + 2\right) \operatorname{re}{\left(f\right)}}{\left(\operatorname{re}{\left(f\right)}\right)^{2} + \left(\operatorname{im}{\left(f\right)}\right)^{2}} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{2}}{\left(\operatorname{re}{\left(f\right)}\right)^{2} + \left(\operatorname{im}{\left(f\right)}\right)^{2}}$$ 
x1 = i*(-(re(f) + 2)*im(f)/(re(f)^2 + im(f)^2) + re(f)*im(f)/(re(f)^2 + im(f)^2)) + (re(f) + 2)*re(f)/(re(f)^2 + im(f)^2) + im(f)^2/(re(f)^2 + im(f)^2)
Suma y producto de raíces [src] 
suma
                                                 2                           
  /  im(f)*re(f)     (2 + re(f))*im(f)\        im (f)       (2 + re(f))*re(f)
I*|--------------- - -----------------| + --------------- + -----------------
  |  2        2         2        2    |     2        2         2        2    
  \im (f) + re (f)    im (f) + re (f) /   im (f) + re (f)    im (f) + re (f)
$$i \left(- \frac{\left(\operatorname{re}{\left(f\right)} + 2\right) \operatorname{im}{\left(f\right)}}{\left(\operatorname{re}{\left(f\right)}\right)^{2} + \left(\operatorname{im}{\left(f\right)}\right)^{2}} + \frac{\operatorname{re}{\left(f\right)} \operatorname{im}{\left(f\right)}}{\left(\operatorname{re}{\left(f\right)}\right)^{2} + \left(\operatorname{im}{\left(f\right)}\right)^{2}}\right) + \frac{\left(\operatorname{re}{\left(f\right)} + 2\right) \operatorname{re}{\left(f\right)}}{\left(\operatorname{re}{\left(f\right)}\right)^{2} + \left(\operatorname{im}{\left(f\right)}\right)^{2}} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{2}}{\left(\operatorname{re}{\left(f\right)}\right)^{2} + \left(\operatorname{im}{\left(f\right)}\right)^{2}}$$ 
=
                                                 2                           
  /  im(f)*re(f)     (2 + re(f))*im(f)\        im (f)       (2 + re(f))*re(f)
I*|--------------- - -----------------| + --------------- + -----------------
  |  2        2         2        2    |     2        2         2        2    
  \im (f) + re (f)    im (f) + re (f) /   im (f) + re (f)    im (f) + re (f)
$$i \left(- \frac{\left(\operatorname{re}{\left(f\right)} + 2\right) \operatorname{im}{\left(f\right)}}{\left(\operatorname{re}{\left(f\right)}\right)^{2} + \left(\operatorname{im}{\left(f\right)}\right)^{2}} + \frac{\operatorname{re}{\left(f\right)} \operatorname{im}{\left(f\right)}}{\left(\operatorname{re}{\left(f\right)}\right)^{2} + \left(\operatorname{im}{\left(f\right)}\right)^{2}}\right) + \frac{\left(\operatorname{re}{\left(f\right)} + 2\right) \operatorname{re}{\left(f\right)}}{\left(\operatorname{re}{\left(f\right)}\right)^{2} + \left(\operatorname{im}{\left(f\right)}\right)^{2}} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{2}}{\left(\operatorname{re}{\left(f\right)}\right)^{2} + \left(\operatorname{im}{\left(f\right)}\right)^{2}}$$ 
producto
                                                 2                           
  /  im(f)*re(f)     (2 + re(f))*im(f)\        im (f)       (2 + re(f))*re(f)
I*|--------------- - -----------------| + --------------- + -----------------
  |  2        2         2        2    |     2        2         2        2    
  \im (f) + re (f)    im (f) + re (f) /   im (f) + re (f)    im (f) + re (f)
$$i \left(- \frac{\left(\operatorname{re}{\left(f\right)} + 2\right) \operatorname{im}{\left(f\right)}}{\left(\operatorname{re}{\left(f\right)}\right)^{2} + \left(\operatorname{im}{\left(f\right)}\right)^{2}} + \frac{\operatorname{re}{\left(f\right)} \operatorname{im}{\left(f\right)}}{\left(\operatorname{re}{\left(f\right)}\right)^{2} + \left(\operatorname{im}{\left(f\right)}\right)^{2}}\right) + \frac{\left(\operatorname{re}{\left(f\right)} + 2\right) \operatorname{re}{\left(f\right)}}{\left(\operatorname{re}{\left(f\right)}\right)^{2} + \left(\operatorname{im}{\left(f\right)}\right)^{2}} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{2}}{\left(\operatorname{re}{\left(f\right)}\right)^{2} + \left(\operatorname{im}{\left(f\right)}\right)^{2}}$$ 
=
  2                                   
im (f) + (2 + re(f))*re(f) - 2*I*im(f)
--------------------------------------
             2        2               
           im (f) + re (f)
$$\frac{\left(\operatorname{re}{\left(f\right)} + 2\right) \operatorname{re}{\left(f\right)} + \left(\operatorname{im}{\left(f\right)}\right)^{2} - 2 i \operatorname{im}{\left(f\right)}}{\left(\operatorname{re}{\left(f\right)}\right)^{2} + \left(\operatorname{im}{\left(f\right)}\right)^{2}}$$ 
(im(f)^2 + (2 + re(f))*re(f) - 2*i*im(f))/(im(f)^2 + re(f)^2)
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