6xyz-8x^2y^2z=

Solution for 6xyz-8x^2y^2z= equation:

Simplifying
6xyz + -8x2y2z = 0

Solving
6xyz + -8x2y2z = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2xyz'.
2xyz(3 + -4xy) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'xyz' equal to zero and attempt to solve:

Simplifying
xyz = 0

Solving
xyz = 0

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

Simplifying
xyz = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(3 + -4xy)' equal to zero and attempt to solve:

Simplifying
3 + -4xy = 0

Solving
3 + -4xy = 0

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

Add '-3' to each side of the equation.
3 + -3 + -4xy = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4xy = 0 + -3
-4xy = 0 + -3

Combine like terms: 0 + -3 = -3
-4xy = -3

Divide each side by '-4y'.
x = 0.75y-1

Simplifying
x = 0.75y-1
Solution
x = {0.75y-1}