f(-4a)=-4a^3

Solution for f(-4a)=-4a^3 equation:

Simplifying
f(-4a) = -4a3

Remove parenthesis around (-4a)
f * -4a = -4a3

Reorder the terms for easier multiplication:
-4f * a = -4a3

Multiply f * a
-4af = -4a3

Solving
-4af = -4a3

Solving for variable 'a'.

Combine like terms: -4a3 + 4a3 = 0
-4af + 4a3 = 0

Factor out the Greatest Common Factor (GCF), '4a'.
4a(-1f + a2) = 0

Ignore the factor 4.
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 '(-1f + a2)' equal to zero and attempt to solve:

Simplifying
-1f + a2 = 0

Reorder the terms:
a2 + -1f = 0

Solving
a2 + -1f = 0

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

Add 'f' to each side of the equation.
a2 + -1f + f = 0 + f

Combine like terms: -1f + f = 0
a2 + 0 = 0 + f
a2 = 0 + f
Remove the zero:
a2 = f

Simplifying
a2 = f

The solution to this equation could not be determined.

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