Choose the factored form of the given equation. 6x 2 + 2x - 8 = 0

Hello :

6x ² + 2x - 8 = 0
look when x= 1 : 6(1)²+2(1)-8 =6+2-8=0
6x²+2x-8 = (x-1)g(x)
g(x) = ax+b find : a and b
(x-1)(ax+b) =ax²+bx-ax-b =ax²+(b-a)x-b

ax²+(b-a)x-b = 6x ² + 2x - 8 
a=6
b-a = 2
- b = -8 
a=6 and b=8
6x²+2x-8 = (x-1)(6x+8)
(x-1)(6x+8) =0
x-1=0 or 6x+8=0
x=1 or x= -8/6= -4/3
the solutions are : 1 , -4/3