Question

Решите уравнение 3x(2x + 18)(6x - 66) = 0

Answer 1

3х(2х+18)(6х-66)=0
х(2х+18)(6х-66)=0
Если произведение равно 0, То как минимум один из множителей равен 0
х1=0
2х+18=0
6х-66=0
х1=0
2х=-18
х=-18:2
х2=-9
6х-66=0
6х=66
х=66:6
х3=11
Ответ:х1=0,х2=-9,х3=11

Answer 2

To solve the equation 3x(2x + 18)(6x - 66) = 0, we need to find the values of x that make the equation true. In general, when we have a product equal to zero, it means that at least one of the factors must be equal to zero. Therefore, we set each factor to zero and solve for x:

1. Set 3x = 0: 3x = 0 x = 0

2. Set (2x + 18) = 0: 2x + 18 = 0 2x = -18 x = -18/2 x = -9

3. Set (6x - 66) = 0: 6x - 66 = 0 6x = 66 x = 66/6 x = 11

The solutions to the equation are x = 0, x = -9, and x = 11. These are the values of x that satisfy the equation and make it true.