3f+6f^2=0

Solution for 3f+6f^2=0 equation:

Simplifying
3f + 6f2 = 0

Solving
3f + 6f2 = 0

Solving for variable 'f'.

Factor out the Greatest Common Factor (GCF), '3f'.
3f(1 + 2f) = 0

Ignore the factor 3.
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 '(1 + 2f)' equal to zero and attempt to solve:

Simplifying
1 + 2f = 0

Solving
1 + 2f = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2f = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2f = 0 + -1
2f = 0 + -1

Combine like terms: 0 + -1 = -1
2f = -1

Divide each side by '2'.
f = -0.5

Simplifying
f = -0.5
Solution
f = {0, -0.5}