=xyz+x^2yz^2

Solution for =xyz+x^2yz^2 equation:

Simplifying
0 = xyz + x2yz2

Solving
0 = xyz + x2yz2

Solving for variable 'x'.
Remove the zero:
-1xyz + -1x2yz2 = xyz + x2yz2 + -1xyz + -1x2yz2

Reorder the terms:
-1xyz + -1x2yz2 = xyz + -1xyz + x2yz2 + -1x2yz2

Combine like terms: xyz + -1xyz = 0
-1xyz + -1x2yz2 = 0 + x2yz2 + -1x2yz2
-1xyz + -1x2yz2 = x2yz2 + -1x2yz2

Combine like terms: x2yz2 + -1x2yz2 = 0
-1xyz + -1x2yz2 = 0

Factor out the Greatest Common Factor (GCF), '-1xyz'.
-1xyz(1 + xz) = 0

Ignore the factor -1.
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 '(1 + xz)' equal to zero and attempt to solve:

Simplifying
1 + xz = 0

Solving
1 + xz = 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 + xz = 0 + -1

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

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

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

Simplifying
x = -1z-1
Solution
x = {-1z-1}