6X² - 12x + (x-2) = 0 please help

asked Sep 13, 2022 214k views

15 votes

6X² - 12x + (x-2) = 0
please help

by TWood

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10 votes

Answer:

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

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)

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