Question

Уравнение (3х+4)(х-2)=0

Answer 1

Чтобы произведение равнялось 0, достаточно, чтобы один из множителей был равен 0.

(3х + 4) · (х - 2) = 0

3х + 4 = 0                    или                 х - 2 = 0

3х = 0 - 4                                            х = 0 + 2

3х = - 4                                                х = 2

х = - 4/3

х = - 1 целая 1/3

Ответ: (-1 целая 1/3) и 2 - корни уравнения.

Answer 2

To solve the equation (3x + 4)(x - 2) = 0, we need to find the values of x that make the left-hand side of the equation equal to zero. To do this, we'll use the zero product property, which states that if the product of two factors is zero, then at least one of the factors must be zero.

So, we set each factor to zero and solve for x:

1. Set (3x + 4) = 0 and solve for x: Subtract 4 from both sides: 3x = -4 Divide by 3: x = -4/3

2. Set (x - 2) = 0 and solve for x: Add 2 to both sides: x = 2

The solutions to the equation are x = -4/3 and x = 2. These are the values of x that make the original equation (3x + 4)(x - 2) = 0 true.