Question

Tìm x

6x(x-2)=x-2

Answer 1

\(6x(x-2)=x-2\)

\(< =>6x\left(x-2\right)-x+2=0\\ < =>6x\left(x-2\right)-\left(x-2\right)=0\\ < =>\left(x-2\right)\left(6x-1\right)=0\)

<=> x-2=0 hoặc 6x-1=0

Nếu x-2=0 thì x=2

Nếu 6x-1=0 thì 6x=1 \(=>x=\dfrac{1}{6}\)

Vậy \(x=2,x=\dfrac{1}{6}\)

Học tốt!

Answer 2

\(6x\left(x-2\right)=x-2\\ 6x=\left(x-2\right):\left(x-2\right)\\ 6x=1\\ x=1:6\\ x=\dfrac{1}{6}\)