Answer
No real solution
Work Step by Step
Given $$3 x^2+75 =0.$$ Apply the square root property to solve.
\begin{equation}
\begin{aligned}
3 x^2+75 & =0 \\
3 x^2 & =-75 \\
x^2 & =-\frac{75}{3}.
\end{aligned}
\end{equation} As we got that $x^2<0$, it follows that this equation has no real solution.