Let's solve the equation:

\[
8x^5 / 3 - 24 = 0
\]

### Step 1: Isolate the term involving \(x^5\)
First, add 24 to both sides of the equation:

\[
8x^5 / 3 = 24
\]

### Step 2: Eliminate the fraction
Multiply both sides by 3 to eliminate the denominator:

\[
8x^5 = 72
\]

### Step 3: Solve for \(x^5\)
Now, divide both sides by 8:

\[
x^5 = 72 / 8 = 9
\]

### Step 4: Solve for \(x\)
To solve for \(x\), take the fifth root of both sides:

\[
x = \sqrt[5]{9}
\]

So, the solution is:

\[
x = \sqrt[5]{9} \approx 1.5518
\]

Would you like more details or have any questions?

Here are some related questions:
1. What are the steps for solving polynomial equations?
2. How do you calculate fractional exponents?
3. How do you solve higher-order polynomial equations?
4. What is the general form of a polynomial equation?
5. What methods exist for solving equations involving radicals?

**Tip:** Always check the solution by substituting it back into the original equation.

Learn how to solve the polynomial equation 8x^5 / 3 - 24 = 0 with a step-by-step solution. This problem covers advanced algebraic concepts such as isolating terms, eliminating fractions, and finding the fifth root. Suitable for students in Grades 10-12.

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