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x+2*x*log(x)=0 equation

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Numerical solution:

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The solution

You have entered [src]
x + 2*x*log(x) = 0
$$x + 2 x \log{\left(x \right)} = 0$$
The graph
Rapid solution [src]
      -1/2
x1 = e    
$$x_{1} = e^{- \frac{1}{2}}$$
x1 = exp(-1/2)
Sum and product of roots [src]
sum
 -1/2
e    
$$e^{- \frac{1}{2}}$$
=
 -1/2
e    
$$e^{- \frac{1}{2}}$$
product
 -1/2
e    
$$e^{- \frac{1}{2}}$$
=
 -1/2
e    
$$e^{- \frac{1}{2}}$$
exp(-1/2)
Numerical answer [src]
x1 = 0.606530659712633
x1 = 0.606530659712633