-2p[(4p+1)-(3p-1)]=5(3-p)-9

Solution for -2p[(4p+1)-(3p-1)]=5(3-p)-9 equation:

Simplifying
-2p[(4p + 1) + -1(3p + -1)] = 5(3 + -1p) + -9

Reorder the terms:
-2p[(1 + 4p) + -1(3p + -1)] = 5(3 + -1p) + -9

Remove parenthesis around (1 + 4p)
-2p[1 + 4p + -1(3p + -1)] = 5(3 + -1p) + -9

Reorder the terms:
-2p[1 + 4p + -1(-1 + 3p)] = 5(3 + -1p) + -9
-2p[1 + 4p + (-1 * -1 + 3p * -1)] = 5(3 + -1p) + -9
-2p[1 + 4p + (1 + -3p)] = 5(3 + -1p) + -9

Reorder the terms:
-2p[1 + 1 + 4p + -3p] = 5(3 + -1p) + -9

Combine like terms: 1 + 1 = 2
-2p[2 + 4p + -3p] = 5(3 + -1p) + -9

Combine like terms: 4p + -3p = 1p
-2p[2 + 1p] = 5(3 + -1p) + -9
[2 * -2p + 1p * -2p] = 5(3 + -1p) + -9
[-4p + -2p2] = 5(3 + -1p) + -9
-4p + -2p2 = (3 * 5 + -1p * 5) + -9
-4p + -2p2 = (15 + -5p) + -9

Reorder the terms:
-4p + -2p2 = 15 + -9 + -5p

Combine like terms: 15 + -9 = 6
-4p + -2p2 = 6 + -5p

Solving
-4p + -2p2 = 6 + -5p

Solving for variable 'p'.

Reorder the terms:
-6 + -4p + 5p + -2p2 = 6 + -5p + -6 + 5p

Combine like terms: -4p + 5p = 1p
-6 + 1p + -2p2 = 6 + -5p + -6 + 5p

Reorder the terms:
-6 + 1p + -2p2 = 6 + -6 + -5p + 5p

Combine like terms: 6 + -6 = 0
-6 + 1p + -2p2 = 0 + -5p + 5p
-6 + 1p + -2p2 = -5p + 5p

Combine like terms: -5p + 5p = 0
-6 + 1p + -2p2 = 0

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

Divide each side by '-2'.
3 + -0.5p + p2 = 0

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -0.5p + -3 + p2 = 0 + -3

Reorder the terms:
3 + -3 + -0.5p + p2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -0.5p + p2 = 0 + -3
-0.5p + p2 = 0 + -3

Combine like terms: 0 + -3 = -3
-0.5p + p2 = -3

The p term is -0.5p.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5p + 0.0625 + p2 = -3 + 0.0625

Reorder the terms:
0.0625 + -0.5p + p2 = -3 + 0.0625

Combine like terms: -3 + 0.0625 = -2.9375
0.0625 + -0.5p + p2 = -2.9375

Factor a perfect square on the left side:
(p + -0.25)(p + -0.25) = -2.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.