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`(11-x):(-5)=15`
`=> 11-x=-75`
`=> x=86`
Vậy `x = 86`
`((2x+3)^2022) . (-7x+84)=0`
`=> (2x+3)^2022 = 0` hoặc `-7x + 84 = 0`
`=> 2x+3=0` hoặc `-7x = -84`
`=> x = -3/2` hoặc `x = 12`
Vậy `x = -3/2` hoặc `x = 12`
`(x-3)(x+1) < 0`
Ta có: `x - 3 < x + 1`
nên: `x - 3 < 0` và `x + 1 > 0`
`=> x < 3 và x > -1`
`=> -1 < x < 3`
Vậy `-1 <x < 3`
#\(N\)
`a, (11-x)`\(\div\)`(-5)=15`
`11-x=15.-5`
`11-x=-75`
`x=11-(-75)`
`x=11+75=86`
`b, (2x-3)^2022.(-7x+84)=0`
`=>`\(\left\{{}\begin{matrix}\left(2x-3\right)^{2022}=0\\\left(-7x+84\right)=0\end{matrix}\right.\)
`=>` \(\left\{{}\begin{matrix}2x-3=0\\-7x+84=0\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}2x=3+0\\-7x=0-84\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}2x=3\\-7x=-84\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}x=3\div2\\x=-84\div-7\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}x=\dfrac{3}{2}\\x=12\end{matrix}\right.\)
`c, (x-3) (x+1) <0`
`-> (x-3) < x+1`
`-> (x-3)<0 , (x+1)>0`
`-> x < 3 , x> (-1)`
`-> 3 > x > -1`
![](https://rs.olm.vn/images/avt/0.png?1311)
b: \(\Leftrightarrow\left[{}\begin{matrix}x=1\\x=-4\end{matrix}\right.\)
![](https://rs.olm.vn/images/avt/0.png?1311)
x( 7x - 21 )( 4x - 32 ) = 0
<=> x = 0 hoặc 7x - 21 = 0 hoặc 4x - 32 = 0
<=> x = 0 hoặc x = 3 hoặc x = 8
x ( 7x - 21 ) ( 4x - 32 ) = 0
<=> x = 0 hoặc 7x - 21 = 0 hoặc 4x - 32 = 0
<=> x = 0 hoặc 7x = 21 hoặc 4x = 32
<=> x = 0 hoặc x = 3 hoặc x = 8
![](https://rs.olm.vn/images/avt/0.png?1311)
4x :17=0
4x=0x17
4x=0
x=0:4
x=0
7x -8=713
7x=713+8
7x=721
x=721:7
x=103
8(x-3)=0
(x-3)=0:8
(x-3)=0
x=0+3
x=3
0:x=0
x=0:0
x=0;1;2;3;4;5;6;7...
\(4x:17=0\) \(7x-8=713\) \(8\left(x-3\right)=0\)
\(4x=0\) \(7x=721\) \(x-3=0\)
\(x=0\) \(x=103\) \(x=3\)
\(0:x=0\)
\(x=0\)
![](https://rs.olm.vn/images/avt/0.png?1311)
4x:17=0
4x=0.17
4x=0
x=0:4
x=0
7x-8=713
7x=713+8
7x=721
x=721:7
x=103
8(x-3)=0
x-3=0:8
x-3=0
x=0+3
x=3
![](https://rs.olm.vn/images/avt/0.png?1311)
7x-8=713 8(x-3)=0 4x:17=0
7x=713+8 =>x-3=0 =>4x=0
7x=721 =.x=3 =>x=0
x=721:7
x=103
7x-8=713 8(x-3)=0 4x÷17=0
7x=713+8 x-3=0÷8 4x=17×0
7x=721 x-3=0 4x=0
x=721÷7 x=3+0 ; x=0÷4
x=103 x=3 x=0
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
4x:17=0
4x=0
x=0
7x-8=713
7x=721
x=103
0:x=0
x có những giá trị là{1;2;3;4;5;6;7;8;9;10;11;12;....}
![](https://rs.olm.vn/images/avt/0.png?1311)
a. 4x : 17 = 0 <=> 4x = 0.17 = 0 => x = 0
b. 7x- 8 =713 <=> 7x = 713 + 8 = 721 => x = 721 : 7 = 103
c. 8 ( x - 3) = 0 <=> x - 3 = 0: 8 = 0 => x = 3
d. 0 : x = 0 với mọi x khác 0
`(x-2022).958=0`
`x-2022=0:958`
`x-2022=0`
`x=0+2022`
`x=2022`
_______________________
`7x+4x=9900`
`(7+4)x=9900`
`11x=9900`
`x=9900:11`
`x=900`
( x - 2022 ) . 958 = 0
x - 2022 = 0
x = 2022
7x + 4x = 9900
11x = 9900
x = 900