\(\left|5^3+3\left|x+1\right|\right|=2.4^3\)
\(\Leftrightarrow\left|5^3+3\left|x+1\right|\right|=128\)
\(\Leftrightarrow5^3+3\left|x+1\right|=128\) hay \(5^3+3\left|x+1\right|=-128\)
\(\Leftrightarrow3\left|x+1\right|=3\) hay \(3\left|x+1\right|=-253\)
\(\Leftrightarrow\left|x+1\right|=1\) hay \(\left|x+1\right|=\dfrac{-253}{3}\) (vô lí do \(\left|x+1\right|\ge0\forall x\))
\(\Leftrightarrow x+1=1\) hay \(x+1=-1\)
\(\Leftrightarrow x=0\) hay \(x=-2\)
-Vậy \(S=\left\{0;-2\right\}\)
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