F(2a)=a

Solution for F(2a)=a equation:

Simplifying
F(2a) = a

Remove parenthesis around (2a)
F * 2a = a

Reorder the terms for easier multiplication:
2F * a = a

Multiply F * a
2aF = a

Solving
2aF = a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
-1a + 2aF = a + -1a

Combine like terms: a + -1a = 0
-1a + 2aF = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(-1 + 2F) = 0

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

Simplifying
a = 0

Solving
a = 0

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

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

Simplifying
-1 + 2F = 0

Solving
-1 + 2F = 0

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

Add '1' to each side of the equation.
-1 + 1 + 2F = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 2F = 0 + 1
2F = 0 + 1

Combine like terms: 0 + 1 = 1
2F = 1

Add '-2F' to each side of the equation.
2F + -2F = 1 + -2F

Combine like terms: 2F + -2F = 0
0 = 1 + -2F

Simplifying
0 = 1 + -2F

The solution to this equation could not be determined.

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