Divide both sides of the equation by x:

10³ - 8² = 36036 / x

Simplify the left side of the equation:

1000 - 64 = 36036 / x

936 = 36036 / x

Now, multiply both sides of the equation by x:

936x = 36036

Divide both sides by 936 to solve for x:

x = 36036 / 936
x = 38

Therefore, x = 38 is the solution to the equation.