Answer:
x = i and x = -i.
Explanation:
1. Combine the terms with a common denominator. In this case, the common denominator is x.
(2x^2 + 2) / x = 0
2. Multiply both sides of the equation by x to eliminate the denominator.
2x^2 + 2 = 0
3. Subtract 2 from both sides of the equation.
2x^2 = -2
4. Divide both sides of the equation by 2 to isolate x^2.
x^2 = -1
5. Take the square root of both sides of the equation to solve for x.
x = ±√(-1)
The square root of -1 is not a real number, but it can be represented as the imaginary unit "i". Therefore, the solutions to the equation are:
x = ±i
Hope this helps!