f^2+12f=0

Solution for f^2+12f=0 equation:

Simplifying
f2 + 12f = 0

Reorder the terms:
12f + f2 = 0

Solving
12f + f2 = 0

Solving for variable 'f'.

Factor out the Greatest Common Factor (GCF), 'f'.
f(12 + 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 '(12 + f)' equal to zero and attempt to solve:

Simplifying
12 + f = 0

Solving
12 + f = 0

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

Add '-12' to each side of the equation.
12 + -12 + f = 0 + -12

Combine like terms: 12 + -12 = 0
0 + f = 0 + -12
f = 0 + -12

Combine like terms: 0 + -12 = -12
f = -12

Simplifying
f = -12
Solution
f = {0, -12}