Question

(x-1)(x-3)=0 3x(2x-7)=0

Answer 1

(x-1)(x-3)=0
x-1=0        или           x-3=0
x=1                            x=3

______________________
3x(2x-7)=0
3x=0         или         2x-7=0
x=0                          2x=7
                                x=3,5

Answer 2

To find the solutions for each equation, you can set each equation equal to zero and solve for x separately.

1. (x - 1)(x - 3) = 0:

   To solve this equation, you can use the zero-product property, which states that if the product of two factors is equal to zero, then at least one of the factors must be equal to zero.

   (x - 1) = 0 or (x - 3) = 0

   Solve each equation separately:

   For (x - 1) = 0: x - 1 = 0 x = 1

   For (x - 3) = 0: x - 3 = 0 x = 3

   So, the solutions for the first equation are x = 1 and x = 3.

2. 3x(2x - 7) = 0:

   Apply the zero-product property:

   3x = 0 or (2x - 7) = 0

   Solve each equation separately:

   For 3x = 0: x = 0

   For (2x - 7) = 0: 2x - 7 = 0 2x = 7 x = 7/2 or 3.5

   So, the solutions for the second equation are x = 0 and x = 3.5.

Therefore, the solutions for the two equations are as follows:

For (x - 1)(x - 3) = 0: x = 1 and x = 3. For 3x(2x - 7) = 0: x = 0 and x = 3.5.