6xy-81xyz+4xyz+2xz=0

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Solution for 6xy-81xyz+4xyz+2xz=0 equation: 


Simplifying
6xy + -81xyz + 4xyz + 2xz = 0

Combine like terms: -81xyz + 4xyz = -77xyz
6xy + -77xyz + 2xz = 0

Solving
6xy + -77xyz + 2xz = 0

Solving for variable 'x'.

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

Factor out the Greatest Common Factor (GCF), 'x'.
x(6y + -77yz + 2z) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(6y + -77yz + 2z)' equal to zero and attempt to solve:

Simplifying
6y + -77yz + 2z = 0

Solving
6y + -77yz + 2z = 0

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

Add '-6y' to each side of the equation.
6y + -77yz + -6y + 2z = 0 + -6y

Reorder the terms:
6y + -6y + -77yz + 2z = 0 + -6y

Combine like terms: 6y + -6y = 0
0 + -77yz + 2z = 0 + -6y
-77yz + 2z = 0 + -6y
Remove the zero:
-77yz + 2z = -6y

Add '77yz' to each side of the equation.
-77yz + 77yz + 2z = -6y + 77yz

Combine like terms: -77yz + 77yz = 0
0 + 2z = -6y + 77yz
2z = -6y + 77yz

Add '-2z' to each side of the equation.
2z + -2z = -6y + 77yz + -2z

Combine like terms: 2z + -2z = 0
0 = -6y + 77yz + -2z

Simplifying
0 = -6y + 77yz + -2z

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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