x^3+y^3+z^3=27

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Solution for x^3+y^3+z^3=27 equation:


Simplifying
x3 + y3 + z3 = 27

Solving
x3 + y3 + z3 = 27

Solving for variable 'x'.

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

Add '-1y3' to each side of the equation.
x3 + y3 + -1y3 + z3 = 27 + -1y3

Combine like terms: y3 + -1y3 = 0
x3 + 0 + z3 = 27 + -1y3
x3 + z3 = 27 + -1y3

Add '-1z3' to each side of the equation.
x3 + z3 + -1z3 = 27 + -1y3 + -1z3

Combine like terms: z3 + -1z3 = 0
x3 + 0 = 27 + -1y3 + -1z3
x3 = 27 + -1y3 + -1z3

Simplifying
x3 = 27 + -1y3 + -1z3

Reorder the terms:
-27 + x3 + y3 + z3 = 27 + -1y3 + -1z3 + -27 + y3 + z3

Reorder the terms:
-27 + x3 + y3 + z3 = 27 + -27 + -1y3 + y3 + -1z3 + z3

Combine like terms: 27 + -27 = 0
-27 + x3 + y3 + z3 = 0 + -1y3 + y3 + -1z3 + z3
-27 + x3 + y3 + z3 = -1y3 + y3 + -1z3 + z3

Combine like terms: -1y3 + y3 = 0
-27 + x3 + y3 + z3 = 0 + -1z3 + z3
-27 + x3 + y3 + z3 = -1z3 + z3

Combine like terms: -1z3 + z3 = 0
-27 + x3 + y3 + z3 = 0

The solution to this equation could not be determined.

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