p^2-2p-18=

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

Simplifying
p2 + -2p + -18 = 0

Reorder the terms:
-18 + -2p + p2 = 0

Solving
-18 + -2p + p2 = 0

Solving for variable 'p'.

Begin completing the square.

Move the constant term to the right:

Add '18' to each side of the equation.
-18 + -2p + 18 + p2 = 0 + 18

Reorder the terms:
-18 + 18 + -2p + p2 = 0 + 18

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

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

The p term is -2p.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2p + 1 + p2 = 18 + 1

Reorder the terms:
1 + -2p + p2 = 18 + 1

Combine like terms: 18 + 1 = 19
1 + -2p + p2 = 19

Factor a perfect square on the left side:
(p + -1)(p + -1) = 19

Calculate the square root of the right side: 4.358898944

Break this problem into two subproblems by setting 
(p + -1) equal to 4.358898944 and -4.358898944.

Subproblem 1
p + -1 = 4.358898944

Simplifying
p + -1 = 4.358898944

Reorder the terms:
-1 + p = 4.358898944

Solving
-1 + p = 4.358898944

Solving for variable 'p'.

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

Add '1' to each side of the equation.
-1 + 1 + p = 4.358898944 + 1

Combine like terms: -1 + 1 = 0
0 + p = 4.358898944 + 1
p = 4.358898944 + 1

Combine like terms: 4.358898944 + 1 = 5.358898944
p = 5.358898944

Simplifying
p = 5.358898944

Subproblem 2
p + -1 = -4.358898944

Simplifying
p + -1 = -4.358898944

Reorder the terms:
-1 + p = -4.358898944

Solving
-1 + p = -4.358898944

Solving for variable 'p'.

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

Add '1' to each side of the equation.
-1 + 1 + p = -4.358898944 + 1

Combine like terms: -1 + 1 = 0
0 + p = -4.358898944 + 1
p = -4.358898944 + 1

Combine like terms: -4.358898944 + 1 = -3.358898944
p = -3.358898944

Simplifying
p = -3.358898944

Solution
The solution to the problem is based on the solutions
from the subproblems.
p = {5.358898944, -3.358898944}