2p^2+4p+91=0

Solution for 2p^2+4p+91=0 equation:

Simplifying
2p2 + 4p + 91 = 0

Reorder the terms:
91 + 4p + 2p2 = 0

Solving
91 + 4p + 2p2 = 0

Solving for variable 'p'.

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
45.5 + 2p + p2 = 0

Move the constant term to the right:

Add '-45.5' to each side of the equation.
45.5 + 2p + -45.5 + p2 = 0 + -45.5

Reorder the terms:
45.5 + -45.5 + 2p + p2 = 0 + -45.5

Combine like terms: 45.5 + -45.5 = 0.0
0.0 + 2p + p2 = 0 + -45.5
2p + p2 = 0 + -45.5

Combine like terms: 0 + -45.5 = -45.5
2p + p2 = -45.5

The p term is 2p.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2p + 1 + p2 = -45.5 + 1

Reorder the terms:
1 + 2p + p2 = -45.5 + 1

Combine like terms: -45.5 + 1 = -44.5
1 + 2p + p2 = -44.5

Factor a perfect square on the left side:
(p + 1)(p + 1) = -44.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.