(Solve): \( 3 x^{2}=27 \)

To solve the equation \( 3 x^{2} = 27 \), first divide both sides by 3 to simplify it: \( x^{2} = 9 \). Now, take the square root of both sides, remembering to consider both the positive and negative roots: \( x = 3 \) and \( x = -3 \). Thus, the two solutions are \( x = 3 \) and \( x = -3 \). Now you've not only solved for \( x \) but also embraced your inner math wizard! Isn't it fun how a bit of algebra can turn numbers into solutions faster than magic? Also, if you take a peek back into the history of algebra, you'll find that solving quadratic equations dates back to ancient civilizations, including Babylonians who used geometric methods to tackle such problems. Their approach laid the groundwork for the algebraic techniques we utilize today, proving that math truly has a rich and fascinating past!