\(a,3x-6=5x+2\)
\(3x-5x=2+6\)
\(-2x=8\)
\(x=-4\)
\(b,2\times\left(x-3\right)-3\times\left(x+7\right)=14\)
\(2x-6-3x-21=14\)
\(-x-27=14\)
\(x=-27-14\)
\(x=-41\)
a) 3x - 6 = 5x + 2
3x - 6 - 2 = 5x
3x - 8 = 5x
3x - 5x = 8
-2x = 8
x = -4
b) 2(x - 3) - 3(x + 7) = 14
2x - 6 - 3x - 21 = 14
(-x) - 27 = 14
(-x) = 41
x = -41
c) 3x2 - x - 2 = 0
x.(3x - 1) = 2
x.(3x - 1) = 2 = 1.2 = 2.1 = (-1).(-2) = (-2).(-1)
Xét 4 trường hợp ,ta có :
\(\left(1\right)\hept{\begin{cases}x=1\\3x-1=2\end{cases}\Rightarrow\hept{\begin{cases}x=1\\x=1\end{cases}}}\)(nhận)
\(\left(2\right)\hept{\begin{cases}x=2\\3x-1=1\end{cases}\Rightarrow\hept{\begin{cases}x=2\\x=\frac{2}{3}\end{cases}}}\)(loại)
\(\left(3\right)\hept{\begin{cases}x=-1\\3x-1=-2\end{cases}\Rightarrow\hept{\begin{cases}x=-1\\x=-\frac{1}{3}\end{cases}}}\)(loại)
\(\left(4\right)\hept{\begin{cases}x=-2\\3x-1=-1\end{cases}\Rightarrow\hept{\begin{cases}x=-2\\x=0\end{cases}}}\)(loại)
\(3x-6=5x+2\)
\(\Rightarrow-2x=8\)
\(\Rightarrow x=-4\)
b)
