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Answer :
Final answer:
The real solution to the equation x/(x+2) - 3 = 1/(x+2) is x = -0.5. The steps to find this solution involve algebraic manipulation and simplification.
Explanation:
To find all real solutions of the equation = x/(x+2) - 3 = 1/(x+2), we first move all terms to one side of the equation.
If we add 3 to both sides, we get x/(x+2) - 1/(x+2) = 3.
If we add 1/(x+2) to both sides, we get x/(x+2) = 3 + 1/(x+2). To simplify this, we can combine like terms.
As a result, the equation simplifies to x/(x+2) = 3(x+2) + 1.
This equation implies x = 3(x+2) + 1. Solving it leads to the solution x = -0.5.
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