To solve the equation 9x^2 + 10 = 0, we can start by subtracting 10 from both sides:

9x^2 = -10

Next, we can divide both sides by 9 to isolate x^2:

x^2 = -10/9

To solve for x, we can take the square root of both sides:

x = ±√(-10/9)

Since the square root of a negative number is not a real number, this equation has no real solutions.