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a) x+15 = 20-4x
=> x=1
b) 17-x=7-6x
=> x=-2
c) -12+x=5x-20
=> x=2
d) 4x-5=15-x
=> x=4
e) 9x-7=20-6x
=>x= \(\frac{9}{5}\)
g)2.(x-10)=3.(x-20)=x-4
=> x thuộc ∅
h) (x^2+2).(x-3) <0
=> x=3,...
![](https://rs.olm.vn/images/avt/0.png?1311)
a) \(5\left(x-7\right)=0\)
\(\Rightarrow x-7=0\)
\(\Rightarrow x=7\)
b) \(25\left(x-4\right)=0\)
\(\Rightarrow x-4=0\)
\(\Rightarrow x=4\)
c) \(\left(34-2x\right)\left(2x-6\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}34-2x=0\\2x-6=0\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}2x=34\\2x=6\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=17\\x=3\end{matrix}\right.\)
d) \(\left(2019-x\right)\left(3x-12\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}2019-x=0\\3x-12=0\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=2019\\3x=12\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=2019\\x=\dfrac{12}{3}=4\end{matrix}\right.\)
e) \(57\left(9x-27\right)=0\)
\(\Rightarrow9x-27=0\)
\(\Rightarrow9\left(x-3\right)=0\)
\(\Rightarrow x-3=0\)
\(\Rightarrow x=3\)
a) 5.(x-7)=0⇔x-7=0⇔x=7
b) 25(x-4)=0⇔x-4=0⇔x=4
c) (34-2x).(2x-6)=0
⇔ 34-2x=0 hoặc 2x-6=0
⇔2x=34 hoặc 2x=6
⇔ x=17 hoặc x=3
d) (2019-x).(3x-12)=0
⇔ 2019-x=0 hoặc 3x-12=0
⇔ x=2019 hoặc x=4
e) 57.(9x-27)=0
⇔ 9x-27=0
⇔ x=3
f) 25+(15-x)=30
⇔ 15-x=5
⇔ x=10
g) 43-(24-x)=20
⇔ 24-x=23
⇔ x=1
h) 2.(x-5)-17=25
⇔ 2(x-5)=42
⇔x-5=21
⇔ x=26
i) 3(x+7)-15=27
⇔ 3(x+7)=42
⇔ x+7=14
⇔ x=7
j) 15+4(x-2)=95
⇔ 4(x-2)=80
⇔ x-2=20
⇔ x=22
k) 20-(x+14)=5
⇔ x+14=15
⇔ x=1
l) 14+3(5-x)=27
⇔ 3(5-x)=13
⇔ 5-x=13/3
⇔ x=5-13/3
⇔ x=2/3
![](https://rs.olm.vn/images/avt/0.png?1311)
1) x - 2 = -6
x = -6 + 2
x = -4
2) -5 . x - ( -3 ) =13
-5 . x = 13 + ( -3 )
-5 . x = 10
x = 10 : ( -5 )
x = -2
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) \(\left(x-7\right)\left(x+12\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x-7=0\\x+12=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=7\\x=-12\end{matrix}\right.\)
Vậy: x∈{7;-12}
b) \(\left(3x-15\right)\left(6-2x\right)=0\)
⇔\(3\left(x-5\right)\cdot2\cdot\left(3-x\right)=0\)
hay \(6\left(x-5\right)\left(3-x\right)=0\)
Vì 6≠0
nên \(\left[{}\begin{matrix}x-5=0\\3-x=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=5\\x=3\end{matrix}\right.\)
Vậy: x∈{3;5}
c) \(\left(3x+9\right)\left(4y-8\right)=0\)
⇔\(3\left(x+3\right)\cdot4\left(y-2\right)=0\)
hay \(12\left(x+3\right)\left(y-2\right)=0\)
Vì 12≠0
nên \(\left\{{}\begin{matrix}x+3=0\\y-2=0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=-3\\y=2\end{matrix}\right.\)
Vậy: x=-3 và y=2
d) \(\left(2y-16\right)\left(8x-24\right)=0\)
⇔\(2\left(y-8\right)\cdot8\left(x-3\right)=0\)
hay 16(y-8)(x-3)=0
Vì 16≠0
nên \(\left\{{}\begin{matrix}y-8=0\\x-3=0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}y=8\\x=3\end{matrix}\right.\)
Vậy: y=8 và x=3
e) \(\left(22-11y\right)\left(9x-18\right)=0\)
⇔\(11\left(2-y\right)9\left(x-2\right)=0\)
hay 99(2-y)(x-2)=0
Vì 99≠0
nên \(\left\{{}\begin{matrix}2-y=0\\x-2=0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}y=2\\x=2\end{matrix}\right.\)
Vậy: x=2 và y=2
g) \(\left(7y+14\right)\cdot\left(9x-18\right)=0\)
⇔7(y+2)*9(x-2)=0
hay 63(y+2)(x-2)=0
Vì 63≠0
nên \(\left\{{}\begin{matrix}y+2=0\\x-2=0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}y=-2\\x=2\end{matrix}\right.\)
Vậy: y=-2 và x=2
h) xy=3
⇒x,y∈Ư(3)
⇒x,y∈{1;-1;3;-3}
*Trường hợp 1:
\(\left\{{}\begin{matrix}x=1\\y=3\end{matrix}\right.\)
*Trường hợp 2:
\(\left\{{}\begin{matrix}x=3\\y=1\end{matrix}\right.\)
*Trường hợp 3:
\(\left\{{}\begin{matrix}x=-1\\y=-3\end{matrix}\right.\)
*Trường hợp 4:
\(\left\{{}\begin{matrix}x=-3\\y=-1\end{matrix}\right.\)
Vậy: x∈{1;-1;3;-3} và y∈{1;-1;3;-3}
i) x*y=-5
⇔x,y∈Ư(-5)
⇔x,y∈{1;-1;5;-5}
*Trường hợp 1:
\(\left\{{}\begin{matrix}x=1\\y=-5\end{matrix}\right.\)
*Trường hợp 2:
\(\left\{{}\begin{matrix}x=-1\\y=5\end{matrix}\right.\)
*Trường hợp 3:
\(\left\{{}\begin{matrix}x=-5\\y=1\end{matrix}\right.\)
*Trường hợp 4:
\(\left\{{}\begin{matrix}x=5\\y=-1\end{matrix}\right.\)
Vậy: x∈{1;5;-1;-5} và y∈{1;5;-1;-5}
k) \(\left(x+4\right)\left(y-5\right)=-3\)
⇔x+4; y-5∈Ư(-3)
⇔x+4; y-5∈{1;3;-3;-1}
*Trường hợp 1:
\(\left\{{}\begin{matrix}x+4=-1\\y-5=3\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=-5\\y=8\end{matrix}\right.\)
*Trường hợp 2:
\(\left\{{}\begin{matrix}x+4=1\\y-5=-3\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=-3\\y=2\end{matrix}\right.\)
*Trường hợp 3:
\(\left\{{}\begin{matrix}x+4=3\\y-5=-1\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=-1\\y=4\end{matrix}\right.\)
*Trường hợp 4:
\(\left\{{}\begin{matrix}x+4=-3\\y-5=1\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=-7\\y=6\end{matrix}\right.\)
Vậy: x∈{-5;-3;-1;-7} và y∈{8;2;4;6}
m) (x-9)(y-5)=-1
⇔x-9; y-5∈Ư(-1)
⇔x-9; y-5∈{1;-1}
*Trường hợp 1:
\(\left\{{}\begin{matrix}x-9=1\\y-5=-1\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=10\\y=4\end{matrix}\right.\)
*Trường hợp 2:
\(\left\{{}\begin{matrix}x-9=-1\\y-5=1\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=8\\y=6\end{matrix}\right.\)
Vậy: x∈{10;8} và y∈{4;6}
n) x+3⋮x+4
⇔x+4-1⋮x+4
⇔-1⋮x+4
hay x+4∈Ư(-1)
⇔x+4∈{1;-1}
⇔x∈{-3;-5}
Vậy: x∈{-3;-5}
p)(x-5)⋮x+2
⇔x+2-7⋮x+2
hay -7⋮x+2
⇔x+2∈Ư(-7)
⇔x+2∈{1;-1;7;-7}
hay x∈{-1;-3;5;-9}
Vậy: x∈{-1;-3;5;-9}
![](https://rs.olm.vn/images/avt/0.png?1311)
bài 1:
a) 1/3x=-5/3
x=-5
b) x+12/5=37/15
x=1/15
c) x-1/7=-36/7
x=-5
d) 3x-1/2=0
3x=1/2
x=1/6
e) 2/5+x=1/4
x=-3/20
![](https://rs.olm.vn/images/avt/0.png?1311)
a) x = 4
b) x = 2 ; x = -4
c) x = 2 ; x = -15
d) x = 7 ; x = -19
e) x = -4 ; -3 ; -2 ; -1 ; 0
g) x = -1 ; - 2 ; 1 ; 2 ; 3 ; 4 ; ...
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a) -12x + 60 + 21 - 7x = 5
-12x - 7x + 60+21 = 5
-19x + 81 = 5
81-5 = 19x
19x = 76
x= 4
(x - 2)(9x + 15) = 0
=> x- 2 = 0 hoặc 9x + 15 = 0
=> x = 2 hoặc 9x = -15
=> x = 2 hoặc x = -15/9 = -5/3