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abs(x+abs(2x+1))=8 equation

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Numerical solution:

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The solution

You have entered [src]
|x + |2*x + 1|| = 8
$$\left|{x + \left|{2 x + 1}\right|}\right| = 8$$
The graph
Rapid solution [src]
x1 = -9
$$x_{1} = -9$$
x2 = 7/3
$$x_{2} = \frac{7}{3}$$
x2 = 7/3
Sum and product of roots [src]
sum
-9 + 7/3
$$-9 + \frac{7}{3}$$
=
-20/3
$$- \frac{20}{3}$$
product
-9*7
----
 3  
$$- 21$$
=
-21
$$-21$$
-21
Numerical answer [src]
x1 = 2.33333333333333
x2 = -9.0
x2 = -9.0