`16(2-3x)+x^2 (3-2x)=0`

`<=>16(2-3x)-x^2(2-3x)=0`

`<=>(2-3x)(16-x^2)=0`

`<=> (2-3x)( 4 -x)(4+x)=0`

\(\Leftrightarrow\left[{}\begin{matrix}2-3x=0\\4-x=0\\4+x=0\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{2}{3}\\x=4\\x=-4\end{matrix}\right.\)

`(7x - 2^2) :5 =2`

`=> (7x - 4): 5 =2`

`=> 7x - 4= 2 xx 5`

`=> 7x - 4= 10`

`=>7x=10+4`

`=>7x=14`

`=>x=14:7`

`=>x=2`

`-5/7.(2/5-x)=-7/3`

`=>2/5-x=-7/3: (-5/7)`

`=>2/5-x=-7/3 xx (-7/5)`

`=>2/5-x=49/15`

`=>x= 2/5- 49/15`

`=>x=6/15- 49/15`

`=>x=-43/15`

x²-x+(2x-2)=0
\(\Leftrightarrow\)x(x-1)+2(x-1)=0
\(\Leftrightarrow\)(x-1)(x+2)=0
\(\Leftrightarrow\)\(\left[{}\begin{matrix}x-1=0\\x+2=0\end{matrix}\right.\)\(\Leftrightarrow\left[{}\begin{matrix}x=1\\x=-2\end{matrix}\right.\)
Vậy x=1 hoặc x=-2

`3/4x-1/2=2/5`

`=> 3/4x= 2/5 + 1/2`

`=> 3/4x=4/10 + 5/10`

`=> 3/4x=9/10`

`=>x=9/10 : 3/4`

`=>x= 9/10 xx 4/3`

`=>x= 36/30`

`=>x= 6/5`

`----------`

`(x-1)^4=16`

`=> (x-1)^4=2^4`

\(\Rightarrow\left[{}\begin{matrix}x-1=2\\x-1=-2\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}x=3\\x=-1\end{matrix}\right.\)

`3x^2+2xy=x(3x+2y)`

`x^2 -xy + 5x -5y= x(x-y)+5(x-y)=(x-y)(x+5)`

`x^2 -xy+x-y=x(x-y)+(x-y)=(x-y)(x+1)`

`x^3 -2x^2 +x= x(x^2 - 2x +1)=x(x-1)^2`