p^2+2p+25=0

Solution for p^2+2p+25=0 equation:

Simplifying
p2 + 2p + 25 = 0

Reorder the terms:
25 + 2p + p2 = 0

Solving
25 + 2p + p2 = 0

Solving for variable 'p'.

Begin completing the square.

Move the constant term to the right:

Add '-25' to each side of the equation.
25 + 2p + -25 + p2 = 0 + -25

Reorder the terms:
25 + -25 + 2p + p2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + 2p + p2 = 0 + -25
2p + p2 = 0 + -25

Combine like terms: 0 + -25 = -25
2p + p2 = -25

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 = -25 + 1

Reorder the terms:
1 + 2p + p2 = -25 + 1

Combine like terms: -25 + 1 = -24
1 + 2p + p2 = -24

Factor a perfect square on the left side:
(p + 1)(p + 1) = -24

Can't calculate square root of the right side.

The solution to this equation could not be determined.