2f^3+4f^2=0

Solution for 2f^3+4f^2=0 equation:

Simplifying
2f3 + 4f2 = 0

Reorder the terms:
4f2 + 2f3 = 0

Solving
4f2 + 2f3 = 0

Solving for variable 'f'.

Factor out the Greatest Common Factor (GCF), '2f2'.
2f2(2 + f) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'f2' equal to zero and attempt to solve:

Simplifying
f2 = 0

Solving
f2 = 0

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

Simplifying
f2 = 0

Take the square root of each side:
f = {0}
Subproblem 2
Set the factor '(2 + f)' equal to zero and attempt to solve:

Simplifying
2 + f = 0

Solving
2 + f = 0

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

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

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

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

Simplifying
f = -2
Solution
f = {0, -2}