Po=o

Solution for Po=o equation:

Simplifying
Po = o

Solving
oP = o

Solving for variable 'o'.

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

Add '-1o' to each side of the equation.
-1o + oP = o + -1o

Combine like terms: o + -1o = 0
-1o + oP = 0

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

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

Simplifying
o = 0

Solving
o = 0

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

Simplifying
o = 0
Subproblem 2
Set the factor '(-1 + P)' equal to zero and attempt to solve:

Simplifying
-1 + P = 0

Solving
-1 + P = 0

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

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

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

Combine like terms: 0 + 1 = 1
P = 1

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

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

Simplifying
0 = 1 + -1P

The solution to this equation could not be determined.

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