x*x*x=(y*y*y)+(z*z*z)

Solution for x*x*x=(y*y*y)+(z*z*z) equation:

Simplifying
x * x * x = (y * y * y) + (z * z * z)

Multiply x * x
x2 * x = (y * y * y) + (z * z * z)

Multiply x2 * x
x3 = (y * y * y) + (z * z * z)

Multiply y * y
x3 = (y2 * y) + (z * z * z)

Multiply y2 * y
x3 = (y3) + (z * z * z)
x3 = y3 + (z * z * z)

Multiply z * z
x3 = y3 + (z2 * z)

Multiply z2 * z
x3 = y3 + (z3)
x3 = y3 + z3

Solving
x3 = y3 + z3

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Simplifying
x3 = y3 + z3

Reorder the terms:
x3 + -1y3 + -1z3 = y3 + -1y3 + z3 + -1z3

Combine like terms: y3 + -1y3 = 0
x3 + -1y3 + -1z3 = 0 + z3 + -1z3
x3 + -1y3 + -1z3 = z3 + -1z3

Combine like terms: z3 + -1z3 = 0
x3 + -1y3 + -1z3 = 0

The solution to this equation could not be determined.