4f(f+2)=0

Solution for 4f(f+2)=0 equation:

Simplifying
4f(f + 2) = 0

Reorder the terms:
4f(2 + f) = 0
(2 * 4f + f * 4f) = 0
(8f + 4f2) = 0

Solving
8f + 4f2 = 0

Solving for variable 'f'.

Factor out the Greatest Common Factor (GCF), '4f'.
4f(2 + f) = 0

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

Simplifying
2 + f = 0

Solving
2 + f = 0

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

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

Combine like terms: 2 + -2 = 0
0 + f = 0 + -2
f = 0 + -2

Combine like terms: 0 + -2 = -2
f = -2

Simplifying
f = -2
Solution
f = {0, -2}