6x^2y^2z^2-xyz-5=0

Solution for 6x^2y^2z^2-xyz-5=0 equation:

Simplifying
6x2y2z2 + -1xyz + -5 = 0

Reorder the terms:
-5 + -1xyz + 6x2y2z2 = 0

Solving
-5 + -1xyz + 6x2y2z2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -6xyz)(1 + -1xyz) = 0

Subproblem 1
Set the factor '(-5 + -6xyz)' equal to zero and attempt to solve:

Simplifying
-5 + -6xyz = 0

Solving
-5 + -6xyz = 0

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

Add '5' to each side of the equation.
-5 + 5 + -6xyz = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -6xyz = 0 + 5
-6xyz = 0 + 5

Combine like terms: 0 + 5 = 5
-6xyz = 5

Divide each side by '-6yz'.
x = -0.8333333333y-1z-1

Simplifying
x = -0.8333333333y-1z-1
Subproblem 2
Set the factor '(1 + -1xyz)' equal to zero and attempt to solve:

Simplifying
1 + -1xyz = 0

Solving
1 + -1xyz = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1xyz = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1xyz = 0 + -1
-1xyz = 0 + -1

Combine like terms: 0 + -1 = -1
-1xyz = -1

Divide each side by '-1yz'.
x = y-1z-1

Simplifying
x = y-1z-1
Solution
x = {-0.8333333333y-1z-1, y-1z-1}