-p^2-16p+17=0

Solution for -p^2-16p+17=0 equation:

Simplifying
-1p2 + -16p + 17 = 0

Reorder the terms:
17 + -16p + -1p2 = 0

Solving
17 + -16p + -1p2 = 0

Solving for variable 'p'.

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

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

Simplifying
1 + -1p = 0

Solving
1 + -1p = 0

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

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

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

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

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

Simplifying
p = 1
Subproblem 2
Set the factor '(17 + p)' equal to zero and attempt to solve:

Simplifying
17 + p = 0

Solving
17 + p = 0

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

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

Combine like terms: 17 + -17 = 0
0 + p = 0 + -17
p = 0 + -17

Combine like terms: 0 + -17 = -17
p = -17

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