To solve for x in the equation 5x + 2/5x = 0, we can start by getting rid of the fractional term. We can do this by multiplying the entire equation by the denominator, which is 5x.
(5x) * (5x + 2/5x) = (5x) * 0
Simplifying this equation gives us:
25x^2 + 2 = 0
Now, we can solve for x by moving the constant term to the other side of the equation:
25x^2 = -2
Dividing both sides by 25 gives us:
x^2 = -2/25
To isolate x, we can take the square root of both sides:
x = ± √(-2/25)
Since the square root of a negative number is not a real number, there are no real solutions to this equation.
