Solve. \( \sqrt{3 x}=-15 \)

To solve the equation \( \sqrt{3x} = -15 \), we first note that the square root function cannot produce a negative value. Since the square root of any real number is always non-negative, there are no real numbers \( x \) that would satisfy this equation. Therefore, the solution is that there are no real solutions to this equation. In other words, if you're ever presented with a square root equal to a negative number, you can confidently declare that it's a no-go. So, keep that in mind anytime you encounter square roots; they prefer to hang out in the non-negative club!