Question

|2x-3|-|3x+2|=0

Answer 1

`|2x-3|-|3x+2|=0`

`<=> |2x-3|=|3x+2|`

 \(\Leftrightarrow\left[{}\begin{matrix}2x-3=3x+2\\2x-3=-3x-2\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x=-5\\\dfrac{1}{5}\end{matrix}\right.\)

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Answer 2

 

|2x-3|-|3x+2|=0

<-> /2x-3/=/3x-2/

<-> 2x-3=3x-2 hoặc 2x-3=2-3x

<-> x=-1 hoặc x=1

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Answer 3

⇒

⇒2x-3=3x+2       ⇒2x-3+2=3x         ⇒2x+(-1)=3x          ⇒x=-1

⇒-2x-3=-3x-2     ⇒-2x-3+2=-3x       ⇒-2x+(-1)=-3x        ⇒x=1

 

Answer 4

\(\left|2x-3\right|-\left|3x+2\right|=0\) 

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

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

\(\Leftrightarrow\left[{}\begin{matrix}x=-5\\x=\dfrac{1}{5}\end{matrix}\right.\)