6p-2=(2+p)(2+p)

Solution for 6p-2=(2+p)(2+p) equation:

Simplifying
6p + -2 = (2 + p)(2 + p)

Reorder the terms:
-2 + 6p = (2 + p)(2 + p)

Multiply (2 + p) * (2 + p)
-2 + 6p = (2(2 + p) + p(2 + p))
-2 + 6p = ((2 * 2 + p * 2) + p(2 + p))
-2 + 6p = ((4 + 2p) + p(2 + p))
-2 + 6p = (4 + 2p + (2 * p + p * p))
-2 + 6p = (4 + 2p + (2p + p2))

Combine like terms: 2p + 2p = 4p
-2 + 6p = (4 + 4p + p2)

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

Solving for variable 'p'.

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

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

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

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

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

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

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

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
6 + -2p + p2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + -2p + -6 + p2 = 0 + -6

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

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

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

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 = -6 + 1

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

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

Factor a perfect square on the left side:
(p + -1)(p + -1) = -5

Can't calculate square root of the right side.

The solution to this equation could not be determined.