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.