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|x+4|=-3

|x+4|=-3 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+40x + 4 \geq 0
or
4xx<-4 \leq x \wedge x < \infty
we get the equation
(x+4)+3=0\left(x + 4\right) + 3 = 0
after simplifying we get
x+7=0x + 7 = 0
the solution in this interval:
x1=7x_{1} = -7
but x1 not in the inequality interval

2.
x+4<0x + 4 < 0
or
<xx<4-\infty < x \wedge x < -4
we get the equation
(x4)+3=0\left(- x - 4\right) + 3 = 0
after simplifying we get
x1=0- x - 1 = 0
the solution in this interval:
x2=1x_{2} = -1
but x2 not in the inequality interval


The final answer:
The graph
-15.0-12.5-10.0-7.5-5.0-2.50.02.55.07.515.010.012.5-2020
Rapid solution [src]
This equation has no roots
This equation has no roots
The graph
|x+4|=-3 equation