p^2-6p+8=3

Solution for p^2-6p+8=3 equation:

Simplifying
p2 + -6p + 8 = 3

Reorder the terms:
8 + -6p + p2 = 3

Solving
8 + -6p + p2 = 3

Solving for variable 'p'.

Reorder the terms:
8 + -3 + -6p + p2 = 3 + -3

Combine like terms: 8 + -3 = 5
5 + -6p + p2 = 3 + -3

Combine like terms: 3 + -3 = 0
5 + -6p + p2 = 0

Factor a trinomial.
(1 + -1p)(5 + -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 '(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 = {1, 5}