Bài 2:
1: (x-1)(x-2)+(2x-4)=0
=>(x-1)(x-2)+2(x-2)=0
=>(x-2)(x-1+2)=0
=>(x-2)(x+1)=0
=>\(\left[{}\begin{matrix}x-2=0\\x+1=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=2\\x=-1\end{matrix}\right.\)
2: \(x\left(x-1\right)+\left(x-1\right)=0\)
=>(x-1)(x+1)=0
=>\(\left[{}\begin{matrix}x-1=0\\x+1=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=1\\x=-1\end{matrix}\right.\)
3: \(4x\left(3x-1\right)+8\left(3x-1\right)=0\)
=>(3x-1)(4x+8)=0
=>(x+2)(3x-1)=0
=>\(\left[{}\begin{matrix}x+2=0\\3x-1=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-2\\x=\dfrac{1}{3}\end{matrix}\right.\)
4: \(\left(3x-1\right)\left(x-3\right)+2x\left(x-3\right)=0\)
=>(x-3)(3x-1+2x)=0
=>(x-3)(5x-1)=0
=>\(\left[{}\begin{matrix}x-3=0\\5x-1=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=3\\x=\dfrac{1}{5}\end{matrix}\right.\)
5: \(-x\left(x-1\right)+\left(x-1\right)\left(3x+5\right)=0\)
=>(x-1)(-x+3x+5)=0
=>(x-1)(2x+5)=0
=>\(\left[{}\begin{matrix}x-1=0\\2x+5=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=1\\x=-\dfrac{5}{2}\end{matrix}\right.\)
6: \(x\left(4-3x\right)+8\left(4-3x\right)=0\)
=>(4-3x)(x+8)=0
=>\(\left[{}\begin{matrix}4-3x=0\\x+8=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{4}{3}\\x=-8\end{matrix}\right.\)
7: \(\left(x+4\right)^2-5x\left(x+4\right)=0\)
=>(x+4)(x+4-5x)=0
=>(-4x+4)(x+4)=0
=>-4(x-1)(x+4)=0
=>(x-1)(x+4)=0
=>\(\left[{}\begin{matrix}x-1=0\\x+4=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=1\\x=-4\end{matrix}\right.\)
8: \(\left(x-2\right)^2-3x\left(x-2\right)=0\)
=>(x-2)(x-2-3x)=0
=>(-2x-2)(x-2)=0
=>-2(x+1)(x-2)=0
=>(x+1)(x-2)=0
=>\(\left[{}\begin{matrix}x+1=0\\x-2=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-1\\x=2\end{matrix}\right.\)
9: \(\left(4x^2-1\right)-x\left(2x+1\right)=0\)
=>(2x+1)(2x-1)-x(2x+1)=0
=>(2x+1)(2x-1-x)=0
=>(2x+1)(x-1)=0
=>\(\left[{}\begin{matrix}2x+1=0\\x-1=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-\dfrac{1}{2}\\x=1\end{matrix}\right.\)
Bài 1:
1: 6x(x-1)=0
=>x(x-1)=0
=>\(\left[{}\begin{matrix}x=0\\x-1=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=0\\x=1\end{matrix}\right.\)
2: (2x+6)(1-4x)=0
=>\(\left[{}\begin{matrix}2x+6=0\\1-4x=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-3\\x=\dfrac{1}{4}\end{matrix}\right.\)
3: (1,7x-3,4)(1,5x+4,5)=0
=>\(1,7\left(x-2\right)\cdot1,5\left(x+3\right)=0\)
=>(x-2)(x+3)=0
\(\Leftrightarrow\left[{}\begin{matrix}x-2=0\\x+3=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=2\\x=-3\end{matrix}\right.\)
4: (2x-6)(4x-7)=0
=>2(x-3)(4x-7)=0
=>(x-3)(4x-7)=0
=>\(\left[{}\begin{matrix}x-3=0\\4x-7=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=3\\x=\dfrac{7}{4}\end{matrix}\right.\)
5: (x-9)(x+1)=0
=>\(\left[{}\begin{matrix}x-9=0\\x+1=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=9\\x=-1\end{matrix}\right.\)
6: (4-2x)(x+1)=0
=>2(2-x)(x+1)=0
=>(2-x)(x+1)=0
=>(x-2)(x+1)=0
=>\(\left[{}\begin{matrix}x-2=0\\x+1=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=2\\x=-1\end{matrix}\right.\)
7: (-6-2x)(3x+9)=0
=>-2(x-3)*3*(x+3)=0
=>(x-3)(x+3)=0
=>\(\left[{}\begin{matrix}x-3=0\\x+3=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=3\\x=-3\end{matrix}\right.\)
8: (4-16x)(4x+1)=0
=>4(1-4x)(4x+1)=0
=>(1-4x)(4x+1)=0
=>(4x-1)(4x+1)=0
=>\(\left[{}\begin{matrix}4x-1=0\\4x+1=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{1}{4}\\x=-\dfrac{1}{4}\end{matrix}\right.\)
9: (8-2x)(10x-5)=0
=>2(x-4)*5*(2x-1)=0
=>(x-4)(2x-1)=0
=>\(\left[{}\begin{matrix}x-4=0\\2x-1=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=4\\x=\dfrac{1}{2}\end{matrix}\right.\)
10: (4-x)(x-1)(2x-4)=0
=>2(x-4)(x-1)(x-2)=0
=>(x-1)(x-2)(x-4)=0
=>\(\left[{}\begin{matrix}x-1=0\\x-2=0\\x-4=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=1\\x=2\\x=4\end{matrix}\right.\)
11: (4-2x)(4x-8)(x+4)=0
=>2(x-2)*4(x-2)*(x+4)=0
=>(x-2)^2*(x+4)=0
=>\(\left[{}\begin{matrix}x-2=0\\x+4=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=2\\x=-4\end{matrix}\right.\)
12: (x-5)(x+1)(-2x+4)=0
=>-2(x-2)(x-5)(x+1)=0
=>(x-2)(x-5)(x+1)=0
=>\(\left[{}\begin{matrix}x-2=0\\x-5=0\\x+1=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=2\\x=5\\x=-1\end{matrix}\right.\)
