p^2-8p+20=5

Solution for p^2-8p+20=5 equation:

Simplifying
p2 + -8p + 20 = 5

Reorder the terms:
20 + -8p + p2 = 5

Solving
20 + -8p + p2 = 5

Solving for variable 'p'.

Reorder the terms:
20 + -5 + -8p + p2 = 5 + -5

Combine like terms: 20 + -5 = 15
15 + -8p + p2 = 5 + -5

Combine like terms: 5 + -5 = 0
15 + -8p + p2 = 0

Factor a trinomial.
(3 + -1p)(5 + -1p) = 0

Subproblem 1
Set the factor '(3 + -1p)' equal to zero and attempt to solve:

Simplifying
3 + -1p = 0

Solving
3 + -1p = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1p = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1p = 0 + -3
-1p = 0 + -3

Combine like terms: 0 + -3 = -3
-1p = -3

Divide each side by '-1'.
p = 3

Simplifying
p = 3
Subproblem 2
Set the factor '(5 + -1p)' equal to zero and attempt to solve:

Simplifying
5 + -1p = 0

Solving
5 + -1p = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1p = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1p = 0 + -5
-1p = 0 + -5

Combine like terms: 0 + -5 = -5
-1p = -5

Divide each side by '-1'.
p = 5

Simplifying
p = 5
Solution
p = {3, 5}