2f^2+12f=0

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

Simplifying
2f2 + 12f = 0

Reorder the terms:
12f + 2f2 = 0

Solving
12f + 2f2 = 0

Solving for variable 'f'.

Factor out the Greatest Common Factor (GCF), '2f'.
2f(6 + f) = 0

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

Simplifying
6 + f = 0

Solving
6 + f = 0

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

Add '-6' to each side of the equation.
6 + -6 + f = 0 + -6

Combine like terms: 6 + -6 = 0
0 + f = 0 + -6
f = 0 + -6

Combine like terms: 0 + -6 = -6
f = -6

Simplifying
f = -6
Solution
f = {0, -6}