p^2-18p+67=2

Solution for p^2-18p+67=2 equation:

Simplifying
p2 + -18p + 67 = 2

Reorder the terms:
67 + -18p + p2 = 2

Solving
67 + -18p + p2 = 2

Solving for variable 'p'.

Reorder the terms:
67 + -2 + -18p + p2 = 2 + -2

Combine like terms: 67 + -2 = 65
65 + -18p + p2 = 2 + -2

Combine like terms: 2 + -2 = 0
65 + -18p + p2 = 0

Factor a trinomial.
(5 + -1p)(13 + -1p) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(13 + -1p)' equal to zero and attempt to solve:

Simplifying
13 + -1p = 0

Solving
13 + -1p = 0

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

Add '-13' to each side of the equation.
13 + -13 + -1p = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1p = 0 + -13
-1p = 0 + -13

Combine like terms: 0 + -13 = -13
-1p = -13

Divide each side by '-1'.
p = 13

Simplifying
p = 13
Solution
p = {5, 13}