(p^2+2p+20)=(p+6)

Solution for (p^2+2p+20)=(p+6) equation:

Simplifying
(p2 + 2p + 20) = (p + 6)

Reorder the terms:
(20 + 2p + p2) = (p + 6)

Remove parenthesis around (20 + 2p + p2)
20 + 2p + p2 = (p + 6)

Reorder the terms:
20 + 2p + p2 = (6 + p)

Remove parenthesis around (6 + p)
20 + 2p + p2 = 6 + p

Solving
20 + 2p + p2 = 6 + p

Solving for variable 'p'.

Reorder the terms:
20 + -6 + 2p + -1p + p2 = 6 + p + -6 + -1p

Combine like terms: 20 + -6 = 14
14 + 2p + -1p + p2 = 6 + p + -6 + -1p

Combine like terms: 2p + -1p = 1p
14 + 1p + p2 = 6 + p + -6 + -1p

Reorder the terms:
14 + 1p + p2 = 6 + -6 + p + -1p

Combine like terms: 6 + -6 = 0
14 + 1p + p2 = 0 + p + -1p
14 + 1p + p2 = p + -1p

Combine like terms: p + -1p = 0
14 + 1p + p2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-14' to each side of the equation.
14 + 1p + -14 + p2 = 0 + -14

Reorder the terms:
14 + -14 + 1p + p2 = 0 + -14

Combine like terms: 14 + -14 = 0
0 + 1p + p2 = 0 + -14
1p + p2 = 0 + -14

Combine like terms: 0 + -14 = -14
1p + p2 = -14

The p term is 1p.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
p + 0.25 + p2 = -14 + 0.25

Reorder the terms:
0.25 + p + p2 = -14 + 0.25

Combine like terms: -14 + 0.25 = -13.75
0.25 + p + p2 = -13.75

Factor a perfect square on the left side:
(p + 0.5)(p + 0.5) = -13.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.