p^2+8p=-19

Solution for p^2+8p=-19 equation:

Simplifying
p2 + 8p = -19

Reorder the terms:
8p + p2 = -19

Solving
8p + p2 = -19

Solving for variable 'p'.

Reorder the terms:
19 + 8p + p2 = -19 + 19

Combine like terms: -19 + 19 = 0
19 + 8p + p2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-19' to each side of the equation.
19 + 8p + -19 + p2 = 0 + -19

Reorder the terms:
19 + -19 + 8p + p2 = 0 + -19

Combine like terms: 19 + -19 = 0
0 + 8p + p2 = 0 + -19
8p + p2 = 0 + -19

Combine like terms: 0 + -19 = -19
8p + p2 = -19

The p term is 8p.  Take half its coefficient (4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
8p + 16 + p2 = -19 + 16

Reorder the terms:
16 + 8p + p2 = -19 + 16

Combine like terms: -19 + 16 = -3
16 + 8p + p2 = -3

Factor a perfect square on the left side:
(p + 4)(p + 4) = -3

Can't calculate square root of the right side.

The solution to this equation could not be determined.