p^2+2p+48=0

Solution for p^2+2p+48=0 equation:

Simplifying
p2 + 2p + 48 = 0

Reorder the terms:
48 + 2p + p2 = 0

Solving
48 + 2p + p2 = 0

Solving for variable 'p'.

Begin completing the square.

Move the constant term to the right:

Add '-48' to each side of the equation.
48 + 2p + -48 + p2 = 0 + -48

Reorder the terms:
48 + -48 + 2p + p2 = 0 + -48

Combine like terms: 48 + -48 = 0
0 + 2p + p2 = 0 + -48
2p + p2 = 0 + -48

Combine like terms: 0 + -48 = -48
2p + p2 = -48

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 = -48 + 1

Reorder the terms:
1 + 2p + p2 = -48 + 1

Combine like terms: -48 + 1 = -47
1 + 2p + p2 = -47

Factor a perfect square on the left side:
(p + 1)(p + 1) = -47

Can't calculate square root of the right side.

The solution to this equation could not be determined.