Question

x^{2} -3х+2  = 0
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    х(х-1)

Answer 1

x^{2} -3х+2  = 0
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    х(х-1)
(х-1)(х-2)    = 0
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    х(х-1)
x=2

Answer 2

$(x^{2} -3x+2)/x(x-1)=0$
$left { {{ x^{2} -3x+2=0} atop {x(x-1) neq 0}} right.$
$x^{2} -3x+2=0$
$D= (-3)^{2} -4*2=9-8=1$
$x_{1} =(3+1)/2=4/2=2$
$x_{2} =(3-1)/2=2/2=1$
$x neq 0$ или $x-1 neq$ $x neq 1$
$left { {{x=2;1} atop {x neq 0;1}} right.$
Ответ: $x=2$