f(x-6)=

Solution for f(x-6)= equation:

Simplifying
f(x + -6) = 0

Reorder the terms:
f(-6 + x) = 0
(-6 * f + x * f) = 0
(-6f + fx) = 0

Solving
-6f + fx = 0

Solving for variable 'f'.

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

Factor out the Greatest Common Factor (GCF), 'f'.
f(-6 + x) = 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 '(-6 + x)' equal to zero and attempt to solve:

Simplifying
-6 + x = 0

Solving
-6 + x = 0

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

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

Combine like terms: -6 + 6 = 0
0 + x = 0 + 6
x = 0 + 6

Combine like terms: 0 + 6 = 6
x = 6

Add '-1x' to each side of the equation.
x + -1x = 6 + -1x

Combine like terms: x + -1x = 0
0 = 6 + -1x

Simplifying
0 = 6 + -1x

The solution to this equation could not be determined.

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