8x^2-2x-3=0 find the solution

Factor using ac method

mulitply 8 and - 3

-24

find what 2 factors of - 24 add to - 2

-6 and 4

split middle up like that

8x²+4x-6x-3=0

gropu and factor

(8x²+4x) + (-6x-3) = 0

4x (2x+1) + (-3) (2x+1) = 0

undistribute

(4x-3) (2x+1) = 0

set each to zero

4x-3=0

4x=3

x=3/4

2x+1=0

2x=-1

x=-1/2

x=-1/2 or 3/4