p^2-17p+16=0

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

Simplifying
p2 + -17p + 16 = 0

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

Solving
16 + -17p + p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(1 + -1p)(16 + -1p) = 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 '(16 + -1p)' equal to zero and attempt to solve:

Simplifying
16 + -1p = 0

Solving
16 + -1p = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1p = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1p = 0 + -16
-1p = 0 + -16

Combine like terms: 0 + -16 = -16
-1p = -16

Divide each side by '-1'.
p = 16

Simplifying
p = 16
Solution
p = {1, 16}