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

1 answer:

5 0

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

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