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(x-4)/(x+8)=(-6)/(2) possible. If there is a solution, express your ans

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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.

  1. Using the formula, we find x = -0.0224.
  2. 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.
  3. Thus, the only possible value of x is 0.0216.
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