Answer:
Simplifying
p2 + -12p + 11 = 0
Reorder the terms:
11 + -12p + p2 = 0
Solving
11 + -12p + p2 = 0
Solving for variable 'p'.
Factor a trinomial.
(1 + -1p)(11 + -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 '(11 + -1p)' equal to zero and attempt to solve:
Simplifying
11 + -1p = 0
Solving
11 + -1p = 0
Move all terms containing p to the left, all other terms to the right.
Add '-11' to each side of the equation.
11 + -11 + -1p = 0 + -11
Combine like terms: 11 + -11 = 0
0 + -1p = 0 + -11
-1p = 0 + -11
Combine like terms: 0 + -11 = -11
-1p = -11
Divide each side by '-1'.
p = 11
Simplifying
p = 11
Solution
p = {1, 11}
