p(p-13)=-22

Solution for p(p-13)=-22 equation:

Simplifying
p(p + -13) = -22

Reorder the terms:
p(-13 + p) = -22
(-13 * p + p * p) = -22
(-13p + p2) = -22

Solving
-13p + p2 = -22

Solving for variable 'p'.

Reorder the terms:
22 + -13p + p2 = -22 + 22

Combine like terms: -22 + 22 = 0
22 + -13p + p2 = 0

Factor a trinomial.
(2 + -1p)(11 + -1p) = 0

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

Simplifying
2 + -1p = 0

Solving
2 + -1p = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1p = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1p = 0 + -2
-1p = 0 + -2

Combine like terms: 0 + -2 = -2
-1p = -2

Divide each side by '-1'.
p = 2

Simplifying
p = 2
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 = {2, 11}