3x^2+3y^2z=18xz+18yz

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Solution for 3x^2+3y^2z=18xz+18yz equation: 


Simplifying
3x2 + 3y2z = 18xz + 18yz

Solving
3x2 + 3y2z = 18xz + 18yz

Solving for variable 'x'.

Reorder the terms:
-18xz + 3x2 + -18yz + 3y2z = 18xz + 18yz + -18xz + -18yz

Reorder the terms:
-18xz + 3x2 + -18yz + 3y2z = 18xz + -18xz + 18yz + -18yz

Combine like terms: 18xz + -18xz = 0
-18xz + 3x2 + -18yz + 3y2z = 0 + 18yz + -18yz
-18xz + 3x2 + -18yz + 3y2z = 18yz + -18yz

Combine like terms: 18yz + -18yz = 0
-18xz + 3x2 + -18yz + 3y2z = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-6xz + x2 + -6yz + y2z) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-6xz + x2 + -6yz + y2z)' equal to zero and attempt to solve:

Simplifying
-6xz + x2 + -6yz + y2z = 0

Solving
-6xz + x2 + -6yz + y2z = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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