p^2+3p+2=-1

Solution for p^2+3p+2=-1 equation:

Simplifying
p2 + 3p + 2 = -1

Reorder the terms:
2 + 3p + p2 = -1

Solving
2 + 3p + p2 = -1

Solving for variable 'p'.

Reorder the terms:
2 + 1 + 3p + p2 = -1 + 1

Combine like terms: 2 + 1 = 3
3 + 3p + p2 = -1 + 1

Combine like terms: -1 + 1 = 0
3 + 3p + p2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + 3p + -3 + p2 = 0 + -3

Reorder the terms:
3 + -3 + 3p + p2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 3p + p2 = 0 + -3
3p + p2 = 0 + -3

Combine like terms: 0 + -3 = -3
3p + p2 = -3

The p term is 3p.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3p + 2.25 + p2 = -3 + 2.25

Reorder the terms:
2.25 + 3p + p2 = -3 + 2.25

Combine like terms: -3 + 2.25 = -0.75
2.25 + 3p + p2 = -0.75

Factor a perfect square on the left side:
(p + 1.5)(p + 1.5) = -0.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.