To solve the equation \(3x^2 = 27\), follow these steps:

1. **Divide both sides by 3**:
   \[
   x^2 = \frac{27}{3} = 9
   \]

2. **Take the square root of both sides**:
   \[
   x = \pm \sqrt{9}
   \]

3. **Simplify**:
   \[
   x = \pm 3
   \]

Thus, the solutions are \(x = 3\) and \(x = -3\).

Would you like more details on any part of this solution? Here are some related questions you might consider:

1. How do you solve quadratic equations in general?
2. What are the properties of square roots?
3. Can you explain how to graph quadratic functions?
4. What does it mean to have two solutions in a quadratic equation?
5. How can I check if my solutions are correct?

**Tip**: Always remember to check your solutions by substituting them back into the original equation!

Discover how to solve the quadratic equation 3x^2 = 27 step-by-step. This solution highlights important algebraic concepts, including properties of square roots and quadratic equations. Ideal for Grades 7-9 students.

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