Question

What is the solution set to the equation (2x – 6)(3x – 4) = 0?

Answer 1

well if you are asking for the 2 values of x, then you would get this by setting each parenthesis to 0 this will result in 2x-6=0 now add the 6 to both sides and get 2x=6 now divide by 2 to get 3 your first x is 3 now lets do the next one, 3x-4=0 add the 4 to both sides and get 3x=4 now divide to get x=4/3 sp your 2 sets would be x=3 and x=4/3

Hope this helped

Answer 2

`x=3` and
`x=(4)/(3)`

Explanation:

Given:
`(2x-6)(3x-4) = 0`

To find: The solution set to this equation.

Solution:

To find the solution set to this equation, we need to find the values of
`x` for which the equation becomes 0.

Here, the equation becomes 0 when
`2x-6=0` and
`3x-4=0`.

Taking each case one by one,

`2x-6=0`

`2x=6`

`x=3`

`3x-4=0`

`3x=4`

`x=(4)/(3)`

So, the solution set of the equation is
`x=3` and
`x=(4)/(3)`.