(p^2+2p+20)=0

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Solution for (p^2+2p+20)=0 equation:


Simplifying
(p2 + 2p + 20) = 0

Reorder the terms:
(20 + 2p + p2) = 0

Remove parenthesis around (20 + 2p + p2)
20 + 2p + p2 = 0

Solving
20 + 2p + p2 = 0

Solving for variable 'p'.

Begin completing the square.

Move the constant term to the right:

Add '-20' to each side of the equation.
20 + 2p + -20 + p2 = 0 + -20

Reorder the terms:
20 + -20 + 2p + p2 = 0 + -20

Combine like terms: 20 + -20 = 0
0 + 2p + p2 = 0 + -20
2p + p2 = 0 + -20

Combine like terms: 0 + -20 = -20
2p + p2 = -20

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 = -20 + 1

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

Combine like terms: -20 + 1 = -19
1 + 2p + p2 = -19

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

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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