f^2+f-20=

Solution for f^2+f-20= equation:

Simplifying
f2 + f + -20 = 0

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

Solving
-20 + f + f2 = 0

Solving for variable 'f'.

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

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

Simplifying
-5 + -1f = 0

Solving
-5 + -1f = 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 + -1f = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1f = 0 + 5
-1f = 0 + 5

Combine like terms: 0 + 5 = 5
-1f = 5

Divide each side by '-1'.
f = -5

Simplifying
f = -5
Subproblem 2
Set the factor '(4 + -1f)' equal to zero and attempt to solve:

Simplifying
4 + -1f = 0

Solving
4 + -1f = 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 + -1f = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1f = 0 + -4
-1f = 0 + -4

Combine like terms: 0 + -4 = -4
-1f = -4

Divide each side by '-1'.
f = 4

Simplifying
f = 4
Solution
f = {-5, 4}