p^2+12p+71=0

Solution for p^2+12p+71=0 equation:

Simplifying
p2 + 12p + 71 = 0

Reorder the terms:
71 + 12p + p2 = 0

Solving
71 + 12p + p2 = 0

Solving for variable 'p'.

Begin completing the square.

Move the constant term to the right:

Add '-71' to each side of the equation.
71 + 12p + -71 + p2 = 0 + -71

Reorder the terms:
71 + -71 + 12p + p2 = 0 + -71

Combine like terms: 71 + -71 = 0
0 + 12p + p2 = 0 + -71
12p + p2 = 0 + -71

Combine like terms: 0 + -71 = -71
12p + p2 = -71

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 = -71 + 36

Reorder the terms:
36 + 12p + p2 = -71 + 36

Combine like terms: -71 + 36 = -35
36 + 12p + p2 = -35

Factor a perfect square on the left side:
(p + 6)(p + 6) = -35

Can't calculate square root of the right side.

The solution to this equation could not be determined.