p^2-12p+36=25

Solution for p^2-12p+36=25 equation:

Simplifying
p2 + -12p + 36 = 25

Reorder the terms:
36 + -12p + p2 = 25

Solving
36 + -12p + p2 = 25

Solving for variable 'p'.

Reorder the terms:
36 + -25 + -12p + p2 = 25 + -25

Combine like terms: 36 + -25 = 11
11 + -12p + p2 = 25 + -25

Combine like terms: 25 + -25 = 0
11 + -12p + p2 = 0

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}