а) (х+2) (х-6) = 0 б) (х-7) (х+1,4) = 0 в) (4a-8) (6a-12) = 0 г) (25c-125) (54c-108) = 0 д) p (p+13) (p-17) = 0 е) x (x-21) (x-105) = 0 ж) (23z-46) (45z+90) (3z+24) = 0 з) (4x-1) (8x-3) (12x-17) = 0

Если уравнение представляет с собой произведение, равное нулю, то для решения такого уравнения к нулю приравниваются все множители и решаются полученные уравнения.

а) (x + 2) * (x - 6) = 0,

1) x + 2 = 0,

x = - 2;

2) x - 6 = 0,

x = 6.

б) (x - 7) * (x + 1,4) = 0,

1) x - 7 = 0,

x = 7;

2) x + 1,4 = 0,

x = - 1,4.

в) (4a - 8) * (6a - 12) = 0,

1) 4a - 8 = 0,

4a = 8,

a = 8/4,

a = 2.

2) 6a - 12 = 0,

6a = 12,

a = 12/6,

a = 2.

г) (25c - 125) * (54c - 108) = 0,

1) 25c - 125 = 0,

25c = 125,

c = 125/25,

c = 5;

2) 54c - 108 = 0,

54c = 108,

c = 108/54,

c = 2.

д) p * (p + 13) * (p - 17) = 0,

1) p = 0;

2) p + 13 = 0,

p = - 13;

3) p - 17 = 0,

p = 17.

е) x * (x - 21) * (x - 105) = 0,

1) x = 0;

2) x - 21 = 0,

x = 21;

3) x - 105 = 0,

x = 105.

ж) (23z - 46) * (45z + 90) * (3z + 24) = 0,

1) 23z - 46 = 0,

23z = 46,

z = 46/23,

z = 2;

2) 45z + 90 = 0,

45z = - 90,

z = - 90/45,

z = - 2.

з) (4x - 1) * (8x - 3) * (12x - 17) = 0,

1) 4x - 1 = 0,

4x = 1,

x = 1/4;

2) 8x - 3 = 0,

8x = 3,

x = 3/8;

3) 12x - 17 = 0,

12x = 17,

x = 17/12.