9-p^2+8p-16=0

Solution for 9-p^2+8p-16=0 equation:

Simplifying
9 + -1p2 + 8p + -16 = 0

Reorder the terms:
9 + -16 + 8p + -1p2 = 0

Combine like terms: 9 + -16 = -7
-7 + 8p + -1p2 = 0

Solving
-7 + 8p + -1p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-7 + p)(1 + -1p) = 0

Subproblem 1
Set the factor '(-7 + p)' equal to zero and attempt to solve:

Simplifying
-7 + p = 0

Solving
-7 + p = 0

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

Add '7' to each side of the equation.
-7 + 7 + p = 0 + 7

Combine like terms: -7 + 7 = 0
0 + p = 0 + 7
p = 0 + 7

Combine like terms: 0 + 7 = 7
p = 7

Simplifying
p = 7
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 = {7, 1}