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(-2*x3*a+4*a-3*x)*(-3*x3)=0 la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
(-2*x3*a + 4*a - 3*x)*-3*x3 = 0
−3x3(−3x+(a(−2x3)+4a))=0- 3 x_{3} \left(- 3 x + \left(a \left(- 2 x_{3}\right) + 4 a\right)\right) = 0
Simplificar
Solución detallada
Tenemos la ecuación:
(-2*x3*a+4*a-3*x)*(-3*x3) = 0

Abrimos la expresión:
-12*a*x3 + 6*a*x3^2 + 9*x*x3 = 0

Reducimos, obtenemos:
-12*a*x3 + 6*a*x3^2 + 9*x*x3 = 0

Dividamos ambos miembros de la ecuación en (-12*a*x3 + 6*a*x3^2 + 9*x*x3)/x
x = 0 / ((-12*a*x3 + 6*a*x3^2 + 9*x*x3)/x)

Obtenemos la respuesta: x = 2*a*(2 - x3)/3
Gráfica
Suma y producto de raíces [src] 
suma
  /  2*im(x3)*re(a)   2*(2 - re(x3))*im(a)\   2*(2 - re(x3))*re(a)   2*im(a)*im(x3)
I*|- -------------- + --------------------| + -------------------- + --------------
  \        3                   3          /            3                   3
2(2−re⁡(x3))re⁡(a)3+i(2(2−re⁡(x3))im⁡(a)3−2re⁡(a)im⁡(x3)3)+2im⁡(a)im⁡(x3)3\frac{2 \left(2 - \operatorname{re}{\left(x_{3}\right)}\right) \operatorname{re}{\left(a\right)}}{3} + i \left(\frac{2 \left(2 - \operatorname{re}{\left(x_{3}\right)}\right) \operatorname{im}{\left(a\right)}}{3} - \frac{2 \operatorname{re}{\left(a\right)} \operatorname{im}{\left(x_{3}\right)}}{3}\right) + \frac{2 \operatorname{im}{\left(a\right)} \operatorname{im}{\left(x_{3}\right)}}{3} 
=
  /  2*im(x3)*re(a)   2*(2 - re(x3))*im(a)\   2*(2 - re(x3))*re(a)   2*im(a)*im(x3)
I*|- -------------- + --------------------| + -------------------- + --------------
  \        3                   3          /            3                   3
2(2−re⁡(x3))re⁡(a)3+i(2(2−re⁡(x3))im⁡(a)3−2re⁡(a)im⁡(x3)3)+2im⁡(a)im⁡(x3)3\frac{2 \left(2 - \operatorname{re}{\left(x_{3}\right)}\right) \operatorname{re}{\left(a\right)}}{3} + i \left(\frac{2 \left(2 - \operatorname{re}{\left(x_{3}\right)}\right) \operatorname{im}{\left(a\right)}}{3} - \frac{2 \operatorname{re}{\left(a\right)} \operatorname{im}{\left(x_{3}\right)}}{3}\right) + \frac{2 \operatorname{im}{\left(a\right)} \operatorname{im}{\left(x_{3}\right)}}{3} 
producto
  /  2*im(x3)*re(a)   2*(2 - re(x3))*im(a)\   2*(2 - re(x3))*re(a)   2*im(a)*im(x3)
I*|- -------------- + --------------------| + -------------------- + --------------
  \        3                   3          /            3                   3
2(2−re⁡(x3))re⁡(a)3+i(2(2−re⁡(x3))im⁡(a)3−2re⁡(a)im⁡(x3)3)+2im⁡(a)im⁡(x3)3\frac{2 \left(2 - \operatorname{re}{\left(x_{3}\right)}\right) \operatorname{re}{\left(a\right)}}{3} + i \left(\frac{2 \left(2 - \operatorname{re}{\left(x_{3}\right)}\right) \operatorname{im}{\left(a\right)}}{3} - \frac{2 \operatorname{re}{\left(a\right)} \operatorname{im}{\left(x_{3}\right)}}{3}\right) + \frac{2 \operatorname{im}{\left(a\right)} \operatorname{im}{\left(x_{3}\right)}}{3} 
=
  2*I*((-2 + re(x3))*im(a) + im(x3)*re(a))   2*(-2 + re(x3))*re(a)   2*im(a)*im(x3)
- ---------------------------------------- - --------------------- + --------------
                     3                                 3                   3
−2i((re⁡(x3)−2)im⁡(a)+re⁡(a)im⁡(x3))3−2(re⁡(x3)−2)re⁡(a)3+2im⁡(a)im⁡(x3)3- \frac{2 i \left(\left(\operatorname{re}{\left(x_{3}\right)} - 2\right) \operatorname{im}{\left(a\right)} + \operatorname{re}{\left(a\right)} \operatorname{im}{\left(x_{3}\right)}\right)}{3} - \frac{2 \left(\operatorname{re}{\left(x_{3}\right)} - 2\right) \operatorname{re}{\left(a\right)}}{3} + \frac{2 \operatorname{im}{\left(a\right)} \operatorname{im}{\left(x_{3}\right)}}{3} 
-2*i*((-2 + re(x3))*im(a) + im(x3)*re(a))/3 - 2*(-2 + re(x3))*re(a)/3 + 2*im(a)*im(x3)/3
Respuesta rápida [src] 
       /  2*im(x3)*re(a)   2*(2 - re(x3))*im(a)\   2*(2 - re(x3))*re(a)   2*im(a)*im(x3)
x1 = I*|- -------------- + --------------------| + -------------------- + --------------
       \        3                   3          /            3                   3
x1=2(2−re⁡(x3))re⁡(a)3+i(2(2−re⁡(x3))im⁡(a)3−2re⁡(a)im⁡(x3)3)+2im⁡(a)im⁡(x3)3x_{1} = \frac{2 \left(2 - \operatorname{re}{\left(x_{3}\right)}\right) \operatorname{re}{\left(a\right)}}{3} + i \left(\frac{2 \left(2 - \operatorname{re}{\left(x_{3}\right)}\right) \operatorname{im}{\left(a\right)}}{3} - \frac{2 \operatorname{re}{\left(a\right)} \operatorname{im}{\left(x_{3}\right)}}{3}\right) + \frac{2 \operatorname{im}{\left(a\right)} \operatorname{im}{\left(x_{3}\right)}}{3} 
x1 = 2*(2 - re(x3))*re(a)/3 + i*(2*(2 - re(x3))*im(a)/3 - 2*re(a)*im(x3)/3) + 2*im(a)*im(x3)/3
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