Final answer:
The possible value of x in the equation is 0.0216.
Step-by-step explanation:
We can rearrange the equation (x-4)/(x+8)=(-6)/(2) into a quadratic equation: x^2 + 0.88x - 0.484 = 0. Now we can use the quadratic formula to solve for the two possible values of x.
- Using the formula, we find x = -0.0224.
- Plugging in the negative value (-0.0224) into the original equation, we see that it does not make sense as an answer and can be discarded.
- Thus, the only possible value of x is 0.0216.