f^2-16f-17=0

Solution for f^2-16f-17=0 equation:

Simplifying
f2 + -16f + -17 = 0

Reorder the terms:
-17 + -16f + f2 = 0

Solving
-17 + -16f + f2 = 0

Solving for variable 'f'.

Factor a trinomial.
(-1 + -1f)(17 + -1f) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(17 + -1f)' equal to zero and attempt to solve:

Simplifying
17 + -1f = 0

Solving
17 + -1f = 0

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

Add '-17' to each side of the equation.
17 + -17 + -1f = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -1f = 0 + -17
-1f = 0 + -17

Combine like terms: 0 + -17 = -17
-1f = -17

Divide each side by '-1'.
f = 17

Simplifying
f = 17
Solution
f = {-1, 17}