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|x+4|=-2 equation

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Numerical solution:

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The solution

Detail solution
For every modulo expressions in the equation
allow cases, when this expressions ">=0" or "<0",
solve the resulting equation.

1.
$$x + 4 \geq 0$$
or
$$-4 \leq x \wedge x < \infty$$
we get the equation
$$\left(x + 4\right) + 2 = 0$$
after simplifying we get
$$x + 6 = 0$$
the solution in this interval:
$$x_{1} = -6$$
but x1 not in the inequality interval

2.
$$x + 4 < 0$$
or
$$-\infty < x \wedge x < -4$$
we get the equation
$$\left(- x - 4\right) + 2 = 0$$
after simplifying we get
$$- x - 2 = 0$$
the solution in this interval:
$$x_{2} = -2$$
but x2 not in the inequality interval


The final answer:
The graph
Rapid solution [src]
This equation has no roots
This equation has no roots