Answer:
{-0.5, 0.1}
Explanation:
- multiply the 8 on the left with x/x so you can write left hand as
![(1-8x)/(x)](https://img.qammunity.org/2021/formulas/mathematics/high-school/b3ub7szb9vlyff9aiqi0iy17z8awl05y79.png)
- cross multiply to get rid of the fractions:
![5x = (1-8x)(5x+2)](https://img.qammunity.org/2021/formulas/mathematics/high-school/hr7k3d28hpcy9t8ff2sncrf3qfyq0titnk.png)
- simplify into a regular quadratic equation:
![-20x^2 - 8x +1 =0](https://img.qammunity.org/2021/formulas/mathematics/high-school/gs68b1i6weu3bbtm17p2063eyahibblm7j.png)
- use the quadratic formula to get the answers:
![x = (8 \pm √((-8)^2 - 4 \cdot -20 \cdot 1))/(-40) = (8 \pm 12)/(-40)](https://img.qammunity.org/2021/formulas/mathematics/high-school/tiekzlc8z4xggls2n9o2yh1ededp9nx07m.png)
so x is 20/-40 = -0.5 or x = -4/-40 = 0.1