Question

6X² - 12x + (x-2) = 0
​please help

Answer 1

`x = 2 \: or \: ( - 1)/(6)`

Explanation:

Lets open the brackets.

`6 {x}^(2) - 12x + x - 2 = 0`

Now lets factorise it.

`= > 6 {x}^(2) - 12x + x - 2 = 0`

`= > 6x(x - 2) + 1(x - 2) = 0`

`= > (x - 2)(6x + 1) = 0`

Here x will have two values.

1)
`x - 2 = 0`

`= > x = 2`

2)
`6x + 1 = 0`

`= > 6x = - 1`

`= > x = ( - 1)/(6)`