X^3+8y^3+27z^3=18xyz

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Solution for X^3+8y^3+27z^3=18xyz equation:


Simplifying
X3 + 8y3 + 27z3 = 18xyz

Solving
X3 + 8y3 + 27z3 = 18xyz

Solving for variable 'X'.

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

Add '-8y3' to each side of the equation.
X3 + 8y3 + -8y3 + 27z3 = 18xyz + -8y3

Combine like terms: 8y3 + -8y3 = 0
X3 + 0 + 27z3 = 18xyz + -8y3
X3 + 27z3 = 18xyz + -8y3

Add '-27z3' to each side of the equation.
X3 + 27z3 + -27z3 = 18xyz + -8y3 + -27z3

Combine like terms: 27z3 + -27z3 = 0
X3 + 0 = 18xyz + -8y3 + -27z3
X3 = 18xyz + -8y3 + -27z3

Simplifying
X3 = 18xyz + -8y3 + -27z3

Reorder the terms:
X3 + -18xyz + 8y3 + 27z3 = 18xyz + -18xyz + -8y3 + 8y3 + -27z3 + 27z3

Combine like terms: 18xyz + -18xyz = 0
X3 + -18xyz + 8y3 + 27z3 = 0 + -8y3 + 8y3 + -27z3 + 27z3
X3 + -18xyz + 8y3 + 27z3 = -8y3 + 8y3 + -27z3 + 27z3

Combine like terms: -8y3 + 8y3 = 0
X3 + -18xyz + 8y3 + 27z3 = 0 + -27z3 + 27z3
X3 + -18xyz + 8y3 + 27z3 = -27z3 + 27z3

Combine like terms: -27z3 + 27z3 = 0
X3 + -18xyz + 8y3 + 27z3 = 0

The solution to this equation could not be determined.

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