РЕШЕНИЕ:
(x−3)2(x−5)=35(x−3)
(x−3)2(x−5) − 35(x−3) = 0
(х-3) ( (х-3)(х-5) - 35) = 0
(х-3) ( х2 - 3х - 5х + 15 - 35) = 0
(х-3) ( х2 - 8х - 20) = 0
х-3 = 0 или х2 - 8х - 20 = 0
х = 3 или D = (-8)2 - 4∙1∙(-20) = 64 + 80 = 144 = 122
х = 3 или x1 = ( 8 + 12) / 2 = 20/2 = 10 ; x2 = ( 8 - 12) / 2 = - 4/2 = - 2
Ответ: 3 ; 10 ; - 2