p^2+7p+71=0

Solution for p^2+7p+71=0 equation:

Simplifying
p2 + 7p + 71 = 0

Reorder the terms:
71 + 7p + p2 = 0

Solving
71 + 7p + 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 + 7p + -71 + p2 = 0 + -71

Reorder the terms:
71 + -71 + 7p + p2 = 0 + -71

Combine like terms: 71 + -71 = 0
0 + 7p + p2 = 0 + -71
7p + p2 = 0 + -71

Combine like terms: 0 + -71 = -71
7p + p2 = -71

The p term is 7p.  Take half its coefficient (3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
7p + 12.25 + p2 = -71 + 12.25

Reorder the terms:
12.25 + 7p + p2 = -71 + 12.25

Combine like terms: -71 + 12.25 = -58.75
12.25 + 7p + p2 = -58.75

Factor a perfect square on the left side:
(p + 3.5)(p + 3.5) = -58.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.