(х+ 3/4)(х+2/3)=(х-1/6 ) (х+7/16)
х²+2/3 х + 3/4 х + 3/4 * 2/3 = х² + 7/16 х -1/6 х - 1/6 * 7/16
х² + 8/12 х +9/12 х + 1/2 = х² + 21/48 х - 8/48 х - 7/96
х²+ 17/12 х + 1/2 = х² + 13/48 х - 7/96
х² + 1 5/12 х - х² - 13/48 х =-7/96 - 1/2
68/48 х - 13/48 х = - (7/96 + 48/96)
55/48 х = - 55/96
х= - 55/96 : 55/48 = - 55/96 * 48/55
х= -1/2
(х - 1/3)(х - 1/6) = (х + 5/6)(х + 5 2/3)
х² - 1/6 х - 1/3 х + 1/18 = х² + 17/3 х + 5/6 х + (5/6 * 17/3 )
х² - 1/6 х - 2/6 х + 1/18 = х² + 34/6 х + 5/6 х + 85/18
х² - 3/6 х - х² - 39/6 х= 85/18 - 1/18
-42/6 х = 84/18
-7х= 14/3
х= 14/3 : (-7) = 14/3 * (- 1/7)
х= - 2/3
(1/4 - х) (1/2 +х) = (1/2-х)(х -1/4)
1/8 + 1/4 х - 1/2 х - х² = 1/2 х - 1/8 -х² + 1/4 х
1/4 х - 1/2 х - х² - 1/2 х + х² - 1/4 х = -1/8 -1/8
-х = -2/8
х = 1/4
(1+х)(7/15 - х) = (1-х)( 29/45 + х )
7/15 - х + 7/15 х - х² = 29/45 +х - 29/45 х -х²
- 8/15 х - х² + 7/15 = -х² + 16/45 х + 29/45
- 8/15 х - х² +х² - 16/45 х = 29/45 - 7/15
- 24/45 х - 16/45 х = 29/45 - 21/45
-40/45 х = 8/45
- 8/9 х = 8/45
х= 8/45 : (-8/9) = 8/45 * (- 9/8)
х= - 1/5