f=fg

Solution for f=fg equation:

Simplifying
f = fg

Solving
f = fg

Solving for variable 'f'.

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

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

Combine like terms: fg + -1fg = 0
f + -1fg = 0

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

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

Simplifying
f = 0

Solving
f = 0

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

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

Simplifying
1 + -1g = 0

Solving
1 + -1g = 0

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

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

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

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

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

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

Simplifying
0 = -1 + g

The solution to this equation could not be determined.

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