This is an equation known as a Diophantine equation, which is an equation that has two or more unknowns and requires the use of algebraic methods to solve. To solve this equation, we can use the method of substitution. First, let x = a, y = b, and z = c. Then, we can substitute these values into the equation to get: a3 + b3 + c3 = k. We can then use the method of trial and error to find the values of a, b, and c that satisfy the equation.
