f^2+22f-23=0

Solution for f^2+22f-23=0 equation:

Simplifying
f2 + 22f + -23 = 0

Reorder the terms:
-23 + 22f + f2 = 0

Solving
-23 + 22f + f2 = 0

Solving for variable 'f'.

Factor a trinomial.
(-23 + -1f)(1 + -1f) = 0

Subproblem 1
Set the factor '(-23 + -1f)' equal to zero and attempt to solve:

Simplifying
-23 + -1f = 0

Solving
-23 + -1f = 0

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

Add '23' to each side of the equation.
-23 + 23 + -1f = 0 + 23

Combine like terms: -23 + 23 = 0
0 + -1f = 0 + 23
-1f = 0 + 23

Combine like terms: 0 + 23 = 23
-1f = 23

Divide each side by '-1'.
f = -23

Simplifying
f = -23
Subproblem 2
Set the factor '(1 + -1f)' equal to zero and attempt to solve:

Simplifying
1 + -1f = 0

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

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

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

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

Simplifying
f = 1
Solution
f = {-23, 1}