-2p+p^2-p+4p^2+6p^2+8p+1=

Solution for -2p+p^2-p+4p^2+6p^2+8p+1= equation:

Simplifying
-2p + p2 + -1p + 4p2 + 6p2 + 8p + 1 = 0

Reorder the terms:
1 + -2p + -1p + 8p + p2 + 4p2 + 6p2 = 0

Combine like terms: -2p + -1p = -3p
1 + -3p + 8p + p2 + 4p2 + 6p2 = 0

Combine like terms: -3p + 8p = 5p
1 + 5p + p2 + 4p2 + 6p2 = 0

Combine like terms: p2 + 4p2 = 5p2
1 + 5p + 5p2 + 6p2 = 0

Combine like terms: 5p2 + 6p2 = 11p2
1 + 5p + 11p2 = 0

Solving
1 + 5p + 11p2 = 0

Solving for variable 'p'.

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

Divide each side by '11'.
0.09090909091 + 0.4545454545p + p2 = 0

Move the constant term to the right:

Add '-0.09090909091' to each side of the equation.
0.09090909091 + 0.4545454545p + -0.09090909091 + p2 = 0 + -0.09090909091

Reorder the terms:
0.09090909091 + -0.09090909091 + 0.4545454545p + p2 = 0 + -0.09090909091

Combine like terms: 0.09090909091 + -0.09090909091 = 0.00000000000
0.00000000000 + 0.4545454545p + p2 = 0 + -0.09090909091
0.4545454545p + p2 = 0 + -0.09090909091

Combine like terms: 0 + -0.09090909091 = -0.09090909091
0.4545454545p + p2 = -0.09090909091

The p term is 0.4545454545p.  Take half its coefficient (0.2272727273).
Square it (0.05165289257) and add it to both sides.

Add '0.05165289257' to each side of the equation.
0.4545454545p + 0.05165289257 + p2 = -0.09090909091 + 0.05165289257

Reorder the terms:
0.05165289257 + 0.4545454545p + p2 = -0.09090909091 + 0.05165289257

Combine like terms: -0.09090909091 + 0.05165289257 = -0.03925619834
0.05165289257 + 0.4545454545p + p2 = -0.03925619834

Factor a perfect square on the left side:
(p + 0.2272727273)(p + 0.2272727273) = -0.03925619834

Can't calculate square root of the right side.

The solution to this equation could not be determined.