p^2+7p+32=0

Solution for p^2+7p+32=0 equation:

Simplifying
p2 + 7p + 32 = 0

Reorder the terms:
32 + 7p + p2 = 0

Solving
32 + 7p + p2 = 0

Solving for variable 'p'.

Begin completing the square.

Move the constant term to the right:

Add '-32' to each side of the equation.
32 + 7p + -32 + p2 = 0 + -32

Reorder the terms:
32 + -32 + 7p + p2 = 0 + -32

Combine like terms: 32 + -32 = 0
0 + 7p + p2 = 0 + -32
7p + p2 = 0 + -32

Combine like terms: 0 + -32 = -32
7p + p2 = -32

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 = -32 + 12.25

Reorder the terms:
12.25 + 7p + p2 = -32 + 12.25

Combine like terms: -32 + 12.25 = -19.75
12.25 + 7p + p2 = -19.75

Factor a perfect square on the left side:
(p + 3.5)(p + 3.5) = -19.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.