4f(f+5)=0

Solution for 4f(f+5)=0 equation:

Simplifying
4f(f + 5) = 0

Reorder the terms:
4f(5 + f) = 0
(5 * 4f + f * 4f) = 0
(20f + 4f2) = 0

Solving
20f + 4f2 = 0

Solving for variable 'f'.

Factor out the Greatest Common Factor (GCF), '4f'.
4f(5 + 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 '(5 + f)' equal to zero and attempt to solve:

Simplifying
5 + f = 0

Solving
5 + f = 0

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

Add '-5' to each side of the equation.
5 + -5 + f = 0 + -5

Combine like terms: 5 + -5 = 0
0 + f = 0 + -5
f = 0 + -5

Combine like terms: 0 + -5 = -5
f = -5

Simplifying
f = -5
Solution
f = {0, -5}