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bài 1: x.(x+7) = 0
Th1:x=0 Th2:x+7=0
=>x=-7
bài 2 (x+12).(x-3)= 0
Th1:x+12=0 Th2:x-3=0
=>x=-12 =>x=3
bài 3 (-x+5).(3-x)=0
Th1 (-x)+5=0 Th2:3-x=0
=>-x=-5 =>x=3
bài 4 x.(2+x).(7-x)=0
Th1:x=0 Th3:7-x=0
Th2:2+x=0 =>x=7
=>x=-2
bài 5 (x-1).(x+2).(-x-3)=0
Th1:x-1=0 Th2:x+2=0
=>x=1 =>x=-2
Th3:-x-3=0
=>-x=-3

1/ x(x+17)=0
⇒ \(\left[{}\begin{matrix}x=0\\x+17=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=0\\x=-17\end{matrix}\right.\)
2/ (x+1112)(x-3)=0
⇒\(\left[{}\begin{matrix}x+1112=0\\x-3=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=-1112\\x=3\end{matrix}\right.\)
3/ (-x+25)(3-x)=0
⇒\(\left[{}\begin{matrix}-x+25=0\\3-x=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=25\\x=3\end{matrix}\right.\)
4/ x(12+x)(7-x)=0
⇒ \(\left[{}\begin{matrix}x=0\\12+x=0\\7-x=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=0\\x=-12\\x=7\end{matrix}\right.\)
5/ (x-15)(x+2)(-x-3)=0
⇒\(\left[{}\begin{matrix}x-15=0\\x+2=0\\-x-3=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=15\\x=-2\\x=-3\end{matrix}\right.\)
\(x\left(x+17\right)=0\\ \Rightarrow\left[{}\begin{matrix}x=0\\x+17=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=0\\x=-17\end{matrix}\right.\)
Vậy \(x\in\left\{0;-17\right\}\)
\(\left(x+1112\right)\left(x-3\right)=0\\ \Rightarrow\left[{}\begin{matrix}x+1112=0\\x-3=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=-1112\\x=3\end{matrix}\right.\)
Vậy \(x\in\left\{-1112;3\right\}\)
\(\left(-x+25\right)\left(3-x\right)=0\\ \Rightarrow\left[{}\begin{matrix}-x+25=0\\3-x=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=25\\x=3\end{matrix}\right.\)
Vậy \(x\in\left\{25;3\right\}\)
\(x\left(12+x\right)\left(7-x\right)=0\\ \Rightarrow\left[{}\begin{matrix}x=0\\12+x=0\\7-x=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=0\\x=-12\\x=7\end{matrix}\right.\)
Vậy \(x\in\left\{0;-12;7\right\}\)
\(\left(x-15\right)\left(x+2\right)\left(-x-3\right)=0\\ \Rightarrow\left[{}\begin{matrix}x-15=0\\x+2=0\\-x-3=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=15\\x=-2\\x=-3\end{matrix}\right.\)
Vậy \(x\in\left\{15;-2;-3\right\}\)

a, ( x + 1)( x - 1) = 0
=> x + 1 = 0 hoặc x - 1 = 0
=> x = -1 hoặc x = 1
b; ( l x + 3l - 1 )( x - 2) = 0
=> lx + 3 l - 1 = 0 hoặc x - 2 = 0
=> lx - 3 l = 1 hoặc x = 2
=> x - 3 = 1 hoặc x - 3 = - 1 hoặc x = 2
=> x = 4 hoặc x= 2

Bài 4:
a. Ta thấy:
$|x|\geq 0; |y-1|\geq 0$ với mọi $x,y$
$\Rightarrow$ để tổng $|x|+|y-1|=0$ thì:
$|x|=|y-1|=0\Rightarrow x=0; y=1$.
b. Ta thấy:
$|x-1|\geq 0; |2y-4|\geq 0$
$\Rightarrow |x-1|+|2y-4|\geq 0$ với mọi $x,y$.
Do đó không tồn tại $x,y$ để $|x-1|+|2y-4|<0$

1) Ta có: \(\left(x-2\right)\left(x+1\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x-2=0\\x+1=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=2\\x=-1\end{matrix}\right.\)
Vậy \(x=2\) hoặc \(x=-1\)
2) Ta có: \(\left(3-x\right)x=0\)
\(\Leftrightarrow\left[{}\begin{matrix}3-x=0\\x=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=3\\x=0\end{matrix}\right.\)
Vậy \(x=3\) hoặc \(x=0\)
3) Ta có: \(2x-17=-\left(3x-18\right)\)
\(\Leftrightarrow2x-17=18-3x\)
\(\Leftrightarrow2x+3x=18+17\)
\(\Leftrightarrow5x=35\Leftrightarrow x=\dfrac{35}{5}=7\)
Vậy \(x=7\)

a/ \(x\left(x+7\right)=0\) \(\Rightarrow\left[\begin{matrix}x=0\\x+7=0\end{matrix}\right.\) \(\Rightarrow\left[\begin{matrix}x=0\\x=-7\end{matrix}\right.\)
b/ \(\left(-x+5\right)\left(3-x\right)=0\) \(\Rightarrow\left[\begin{matrix}-x+5=0\\3-x=0\end{matrix}\right.\) \(\Rightarrow\left[\begin{matrix}x=5\\x=3\end{matrix}\right.\)
c/ \(\left|x-1\right|=3\) \(\Rightarrow\left[\begin{matrix}x-1=3\\1-x=3\end{matrix}\right.\) \(\Rightarrow\left[\begin{matrix}x=4\\x=-2\end{matrix}\right.\)
d/ \(-13\left|x\right|=-26\) \(\Rightarrow\left|x\right|=2\) \(\Rightarrow x=\pm2\)
e/ \(x.x-8=-2.\left(-13\right)-\left(-2\right)\)
\(\Rightarrow x^2=36\) \(\Rightarrow\left|x\right|=6\) \(\Rightarrow x=\pm6\)
`(x-3)(1-x)=0`
TH1: `x-3=0`
`=>x=3`
TH2: `1-x=0`
`=>-x=-1`
`=>x=1`
Vậy:` x = 3 `và `x = 1`
(\(x-3\))(1 - \(x\)) = 0
\(\left[{}\begin{matrix}x-3=0\\1-x=0\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=3\\x=1\end{matrix}\right.\)
Vậy \(x\in\) {1; 3}