The equation you've provided is a cubic equation of the form \( x^3 - 27 = 0 \).

### Solution:
1. **Rewrite the equation**: 
   \[
   x^3 = 27
   \]

2. **Take the cube root of both sides**:
   \[
   x = \sqrt[3]{27}
   \]

3. **Calculate the cube root**:
   \[
   x = 3
   \]

### Final Answer:
The solution to the equation \( x^3 - 27 = 0 \) is:
\[
x = 3
\]

Would you like more details or have any other questions about this solution?

Here are some related questions you might find interesting:
1. How do you solve a general cubic equation of the form \( x^3 + ax^2 + bx + c = 0 \)?
2. What are the properties of the cubic function \( x^3 - 27 \)?
3. Can cubic equations have complex solutions?
4. How can you graphically interpret the solution of \( x^3 - 27 = 0 \)?
5. How do you solve \( x^3 = 27 \) if the number on the right-hand side was negative?

**Tip**: For any cubic equation, the first step is to isolate the cubic term and then apply the cube root to find the solution.

Learn how to solve the cubic equation x^3 - 27 = 0 with a detailed step-by-step solution. This problem covers cubic equations and cube roots. Suitable for students in Grades 9-12.

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