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y=ax-3ax+5a la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
y = a*x - 3*a*x + 5*a
y=5a+(ax−3ax)y = 5 a + \left(a x - 3 a x\right)
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Solución detallada
Tenemos una ecuación lineal:
y = a*x-3*a*x+5*a

Obtenemos la respuesta: y = a*(5 - 2*x)
Gráfica
Respuesta rápida [src] 
y1 = I*((5 - 2*re(x))*im(a) - 2*im(x)*re(a)) + (5 - 2*re(x))*re(a) + 2*im(a)*im(x)
y1=(5−2re⁡(x))re⁡(a)+i((5−2re⁡(x))im⁡(a)−2re⁡(a)im⁡(x))+2im⁡(a)im⁡(x)y_{1} = \left(5 - 2 \operatorname{re}{\left(x\right)}\right) \operatorname{re}{\left(a\right)} + i \left(\left(5 - 2 \operatorname{re}{\left(x\right)}\right) \operatorname{im}{\left(a\right)} - 2 \operatorname{re}{\left(a\right)} \operatorname{im}{\left(x\right)}\right) + 2 \operatorname{im}{\left(a\right)} \operatorname{im}{\left(x\right)} 
y1 = (5 - 2*re(x))*re(a) + i*((5 - 2*re(x))*im(a) - 2*re(a)*im(x)) + 2*im(a)*im(x)
Suma y producto de raíces [src] 
suma
I*((5 - 2*re(x))*im(a) - 2*im(x)*re(a)) + (5 - 2*re(x))*re(a) + 2*im(a)*im(x)
(5−2re⁡(x))re⁡(a)+i((5−2re⁡(x))im⁡(a)−2re⁡(a)im⁡(x))+2im⁡(a)im⁡(x)\left(5 - 2 \operatorname{re}{\left(x\right)}\right) \operatorname{re}{\left(a\right)} + i \left(\left(5 - 2 \operatorname{re}{\left(x\right)}\right) \operatorname{im}{\left(a\right)} - 2 \operatorname{re}{\left(a\right)} \operatorname{im}{\left(x\right)}\right) + 2 \operatorname{im}{\left(a\right)} \operatorname{im}{\left(x\right)} 
=
I*((5 - 2*re(x))*im(a) - 2*im(x)*re(a)) + (5 - 2*re(x))*re(a) + 2*im(a)*im(x)
(5−2re⁡(x))re⁡(a)+i((5−2re⁡(x))im⁡(a)−2re⁡(a)im⁡(x))+2im⁡(a)im⁡(x)\left(5 - 2 \operatorname{re}{\left(x\right)}\right) \operatorname{re}{\left(a\right)} + i \left(\left(5 - 2 \operatorname{re}{\left(x\right)}\right) \operatorname{im}{\left(a\right)} - 2 \operatorname{re}{\left(a\right)} \operatorname{im}{\left(x\right)}\right) + 2 \operatorname{im}{\left(a\right)} \operatorname{im}{\left(x\right)} 
producto
I*((5 - 2*re(x))*im(a) - 2*im(x)*re(a)) + (5 - 2*re(x))*re(a) + 2*im(a)*im(x)
(5−2re⁡(x))re⁡(a)+i((5−2re⁡(x))im⁡(a)−2re⁡(a)im⁡(x))+2im⁡(a)im⁡(x)\left(5 - 2 \operatorname{re}{\left(x\right)}\right) \operatorname{re}{\left(a\right)} + i \left(\left(5 - 2 \operatorname{re}{\left(x\right)}\right) \operatorname{im}{\left(a\right)} - 2 \operatorname{re}{\left(a\right)} \operatorname{im}{\left(x\right)}\right) + 2 \operatorname{im}{\left(a\right)} \operatorname{im}{\left(x\right)} 
=
-I*((-5 + 2*re(x))*im(a) + 2*im(x)*re(a)) - (-5 + 2*re(x))*re(a) + 2*im(a)*im(x)
−i((2re⁡(x)−5)im⁡(a)+2re⁡(a)im⁡(x))−(2re⁡(x)−5)re⁡(a)+2im⁡(a)im⁡(x)- i \left(\left(2 \operatorname{re}{\left(x\right)} - 5\right) \operatorname{im}{\left(a\right)} + 2 \operatorname{re}{\left(a\right)} \operatorname{im}{\left(x\right)}\right) - \left(2 \operatorname{re}{\left(x\right)} - 5\right) \operatorname{re}{\left(a\right)} + 2 \operatorname{im}{\left(a\right)} \operatorname{im}{\left(x\right)} 
-i*((-5 + 2*re(x))*im(a) + 2*im(x)*re(a)) - (-5 + 2*re(x))*re(a) + 2*im(a)*im(x)
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