Question

giải phương trình này giúp mình với |-2x|-3x=4

Answer 1

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Answer 2

\(\left|-2x\right|-3x=4\)

\(\Leftrightarrow\left|-2x\right|=4+3x\)

\(\Leftrightarrow\left[{}\begin{matrix}-2x=4+3x\\-2x=-\left(4+3x\right)\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}-2x-3x=4\\-2x=-4-3x\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}-5x=4\\-2x+3x=-4\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}x=-\dfrac{4}{5}\\x=-4\end{matrix}\right.\)

Vậy \(S=\left\{-\dfrac{4}{5};-4\right\}\)