Đáp án + Giải thích các bước giải:
a)
`2x-5=-19`
`=>2x=-19+5`
`=>2x=-14`
`=>x=-14:2`
`=>x=-7`
Vậy `x=-7`
b)
`|x+2|=17`
`=>` \(\left[ \begin{array}{l}x+2=17\\x+2=-17\end{array} \right.\)
`=>` \(\left[ \begin{array}{l}x=17-2\\x=-17-2\end{array} \right.\)
`=>` \(\left[ \begin{array}{l}x=15\\x=-19\end{array} \right.\)
Vậy `x∈{15;-19}`
c)
`(x+5)(x-9)=0`
`=>` \(\left[ \begin{array}{l}x+5=0\\x-9=0\end{array} \right.\)
`=>` \(\left[ \begin{array}{l}x=0-5\\x=0+9\end{array} \right.\)
`=>` \(\left[ \begin{array}{l}x=-5\\x=9\end{array} \right.\)
Vậy `x∈{-5;9}`
d)
`5x-14=x-34`
`=>5x-x=-34+14`
`=4x=-20`
`=>x=-20:4`
`=>x=-5`
Vậy `x=-5`
