20f^2-56f+32=0

Solution for 20f^2-56f+32=0 equation:

Simplifying
20f2 + -56f + 32 = 0

Reorder the terms:
32 + -56f + 20f2 = 0

Solving
32 + -56f + 20f2 = 0

Solving for variable 'f'.

Factor out the Greatest Common Factor (GCF), '4'.
4(8 + -14f + 5f2) = 0

Factor a trinomial.
4((4 + -5f)(2 + -1f)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(4 + -5f)' equal to zero and attempt to solve:

Simplifying
4 + -5f = 0

Solving
4 + -5f = 0

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

Add '-4' to each side of the equation.
4 + -4 + -5f = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5f = 0 + -4
-5f = 0 + -4

Combine like terms: 0 + -4 = -4
-5f = -4

Divide each side by '-5'.
f = 0.8

Simplifying
f = 0.8
Subproblem 2
Set the factor '(2 + -1f)' equal to zero and attempt to solve:

Simplifying
2 + -1f = 0

Solving
2 + -1f = 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 + -1f = 0 + -2

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

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

Divide each side by '-1'.
f = 2

Simplifying
f = 2
Solution
f = {0.8, 2}