p^2+12p=-37

Solution for p^2+12p=-37 equation:

Simplifying
p2 + 12p = -37

Reorder the terms:
12p + p2 = -37

Solving
12p + p2 = -37

Solving for variable 'p'.

Reorder the terms:
37 + 12p + p2 = -37 + 37

Combine like terms: -37 + 37 = 0
37 + 12p + p2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-37' to each side of the equation.
37 + 12p + -37 + p2 = 0 + -37

Reorder the terms:
37 + -37 + 12p + p2 = 0 + -37

Combine like terms: 37 + -37 = 0
0 + 12p + p2 = 0 + -37
12p + p2 = 0 + -37

Combine like terms: 0 + -37 = -37
12p + p2 = -37

The p term is 12p.  Take half its coefficient (6).
Square it (36) and add it to both sides.

Add '36' to each side of the equation.
12p + 36 + p2 = -37 + 36

Reorder the terms:
36 + 12p + p2 = -37 + 36

Combine like terms: -37 + 36 = -1
36 + 12p + p2 = -1

Factor a perfect square on the left side:
(p + 6)(p + 6) = -1

Can't calculate square root of the right side.

The solution to this equation could not be determined.