Answer:
[tex]x = 2 \: or \: \frac{ - 1}{6} [/tex]
Step-by-step explanation:
Lets open the brackets.
[tex]6 {x}^{2} - 12x + x - 2 = 0[/tex]
Now lets factorise it.
[tex] = > 6 {x}^{2} - 12x + x - 2 = 0[/tex]
[tex] = > 6x(x - 2) + 1(x - 2) = 0[/tex]
[tex] = > (x - 2)(6x + 1) = 0[/tex]
Here x will have two values.
1) [tex]x - 2 = 0[/tex]
[tex] = > x = 2[/tex]
2) [tex]6x + 1 = 0[/tex]
[tex] = > 6x = - 1[/tex]
[tex] = > x = \frac{ - 1}{6} [/tex]
