Algebra, quadratic formula,?

-8q^2 - 2q + 1 = 0
-(8q^2 + 2q - 1) = 0
-(8q^2 + 4q - 2q - 1) = 0
-[(8q^2 + 4q) - (2q + 1)] = 0
-[4q(2q + 1) - 1(2q + 1)] = 0
-(2q + 1)(4q - 1) = 0

2q + 1 = 0
2q = -1
q = -1/2 (-0.5)

4q - 1 = 0
4q = 1
q = 1/4 (0.25)

∴ q = -1/2 (-0.5), 1/4 (0.25)

x = -b plus or minus the root b squared minus 4 multiplied by a multiplied by c, all divided by 2a
Where a = -8
b = -2
c = 1

So, it is 2 plus or minus 6, all divided by -16
x - intercepts are -0.5 and 0.25

8 q ² + 2 q - 1 = 0

q = [ - 2 ± √ ( 4 + 32 ) ] / 16

q = [ - 2 ± √ ( 36 ) ] / 16

q = [ - 2 ± 6 ] / 16

q = 1/4 , q = - 1/2

OR

8 q ² + 2q - 1 = 0

( 4 q - 1 ) ( 2 q + 1 ) = 0

q = 1/4 , q = - 1/2

X intercepts: -1/2 and 1/4
Y intercept: 1

It is a negative graph. SO IT IS A SAD FACE GRAPH

your full graph and answers are here:

http://www.wolframalpha.com/input/pdfGet.jsp?id=MSP2671983c4406ga685ii00001de23306hdif1774&s=43&i=-8q^2-2q%2B1%3D0

x= -0.5 x= 0.25

q = -0.5 or 0.25