3x^2 - 5(√x)^2 - 2=0

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To simplify this equation, we can substitute (√x)^2 with x:

3x^2 - 5x - 2 = 0

Now, we have a quadratic equation which we can solve using the quadratic formula:

x = (-(-5) ± √((-5)^2 - 4(3)(-2))) / (2(3))
x = (5 ± √(25 + 24)) / 6
x = (5 ± √49) / 6
x = (5 ± 7) / 6

Therefore, the solutions are:
x1 = (5 + 7) / 6 = 2
x2 = (5 - 7) / 6 = -2/3

So the solutions to the equation are x = 2 and x = -2/3.