p^2+16p-17=0

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

Simplifying
p2 + 16p + -17 = 0

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

Solving
-17 + 16p + p2 = 0

Solving for variable 'p'.

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

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

Simplifying
-17 + -1p = 0

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

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

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

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

Simplifying
p = -17
Subproblem 2
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
Solution
p = {-17, 1}