\(2x-1\left(x+2\right)-3\left(x+2\right)=0\)
\(\Rightarrow\left(2x-4\right)\left(x+2\right)=0\)
\(\Rightarrow\orbr{\begin{cases}2x-4=0\\x+2=0\end{cases}\Rightarrow\orbr{\begin{cases}x=2\\x=-2\end{cases}}}\)
(2x-1)(x+2)-3(x+2)=0
<=>2x2+3x-2-3x-6=0
<=>2x2-8=0
<=>2(x2-4)=0
<=>x2-4=0
<=>(x+2)(x-2)=0
=>\(\orbr{\begin{cases}x+2=0\\x-2=0\end{cases}\Rightarrow\orbr{\begin{cases}x=-2\\x=2\end{cases}}}\)
Vậy...
(2x-1)(x+2)-3(x+2)=0
(x+2)[(2x-1)-3]=0
(x+2)(2x-1-3)=0
(x+2)(2x-4)=0
TH1: x+2=0 nên x=-2
TH2: 2x-4=0 nên 2x=4 nên x=2
vậy x=-2 hoặc x=2
<=> \(\left(x+2\right)\left(2x-1-3\right)=0\)
<=>\(\left(x+2\right)\left(2x-4\right)=0\)
<=>\(2\left(x+2\right)\left(x-2\right)=0\)
<=>\(\orbr{\begin{cases}x+2=0\\x-2=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=-2\\x=2\end{cases}}}\)
Vay phuong trinh co tap nghiem S={-2;2)
Study well
Vì (2x -1) (x+2) - 3 (x + 2) = 0
=> ( 2x -1) (x + 2) = 3 ( x+ 2)
=> ( 2x -1) = 3
=> 2x = 4
x=2
(2x - 1)(x + 2) - 3(x + 2) = 0
(x + 2)[2x - 1 - (3)] = 0
x = -+2