f^2+16f=0

Solution for f^2+16f=0 equation:

Simplifying
f2 + 16f = 0

Reorder the terms:
16f + f2 = 0

Solving
16f + f2 = 0

Solving for variable 'f'.

Factor out the Greatest Common Factor (GCF), 'f'.
f(16 + f) = 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 '(16 + f)' equal to zero and attempt to solve:

Simplifying
16 + f = 0

Solving
16 + f = 0

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

Add '-16' to each side of the equation.
16 + -16 + f = 0 + -16

Combine like terms: 16 + -16 = 0
0 + f = 0 + -16
f = 0 + -16

Combine like terms: 0 + -16 = -16
f = -16

Simplifying
f = -16
Solution
f = {0, -16}