\(x\left(x-1\right)-\left(x-2\right)x=0\\ \Leftrightarrow x^2-x-x^2-2x=0\\ \Leftrightarrow1x=0\\ \Leftrightarrow x=0\)
`x.(x-1) - (x-2).x = 0`
`x^2 -x - x^2 -2x = 0`
`(x^2 - x^2) + (-x + 2x) = 0`
`0 + (-x+2x) = 0`
`1x = 0`
`=> x = 0 : 1`
`x = 1`
\(x\left(x-1\right)-\left(x-2\right)x=0\)
\(\Leftrightarrow x^2-x-\left(x+2\right).x=0\)
\(\Leftrightarrow x^2-x-\left(x^2+2x\right)=0\)
\(\Leftrightarrow x^2-x-x^2-2x=0\)
\(\Leftrightarrow-x-2x=0\)
\(\Leftrightarrow-3x=0\)
\(\Leftrightarrow x=0\)
`x(x-1) - (x-2)x=0`
`=> x^2 - x - x^2 - 2x = 0`
`=> (x^2 - x^2) + (-x + 2x) = 0`
`=> 1x=0`
`=> x = 0 : 1`
`=>x = 0`