8f^2+20f=0

Solution for 8f^2+20f=0 equation:

Simplifying
8f2 + 20f = 0

Reorder the terms:
20f + 8f2 = 0

Solving
20f + 8f2 = 0

Solving for variable 'f'.

Factor out the Greatest Common Factor (GCF), '4f'.
4f(5 + 2f) = 0

Ignore the factor 4.
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 '(5 + 2f)' equal to zero and attempt to solve:

Simplifying
5 + 2f = 0

Solving
5 + 2f = 0

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

Add '-5' to each side of the equation.
5 + -5 + 2f = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2f = 0 + -5
2f = 0 + -5

Combine like terms: 0 + -5 = -5
2f = -5

Divide each side by '2'.
f = -2.5

Simplifying
f = -2.5
Solution
f = {0, -2.5}