a*a*a+b*b*b=c*c*c

Solution for a*a*a+b*b*b=c*c*c equation:

Simplifying
a * a * a + b * b * b = c * c * c

Multiply a * a
a2 * a + b * b * b = c * c * c

Multiply a2 * a
a3 + b * b * b = c * c * c

Multiply b * b
a3 + b2 * b = c * c * c

Multiply b2 * b
a3 + b3 = c * c * c

Multiply c * c
a3 + b3 = c2 * c

Multiply c2 * c
a3 + b3 = c3

Solving
a3 + b3 = c3

Solving for variable 'a'.

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

Add '-1b3' to each side of the equation.
a3 + b3 + -1b3 = -1b3 + c3

Combine like terms: b3 + -1b3 = 0
a3 + 0 = -1b3 + c3
a3 = -1b3 + c3

Simplifying
a3 = -1b3 + c3

Reorder the terms:
a3 + b3 + -1c3 = -1b3 + b3 + c3 + -1c3

Combine like terms: -1b3 + b3 = 0
a3 + b3 + -1c3 = 0 + c3 + -1c3
a3 + b3 + -1c3 = c3 + -1c3

Combine like terms: c3 + -1c3 = 0
a3 + b3 + -1c3 = 0

The solution to this equation could not be determined.