-2p(p-1)=15

Solution for -2p(p-1)=15 equation:

Simplifying
-2p(p + -1) = 15

Reorder the terms:
-2p(-1 + p) = 15
(-1 * -2p + p * -2p) = 15
(2p + -2p2) = 15

Solving
2p + -2p2 = 15

Solving for variable 'p'.

Reorder the terms:
-15 + 2p + -2p2 = 15 + -15

Combine like terms: 15 + -15 = 0
-15 + 2p + -2p2 = 0

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

Divide each side by '-2'.
7.5 + -1p + p2 = 0

Move the constant term to the right:

Add '-7.5' to each side of the equation.
7.5 + -1p + -7.5 + p2 = 0 + -7.5

Reorder the terms:
7.5 + -7.5 + -1p + p2 = 0 + -7.5

Combine like terms: 7.5 + -7.5 = 0.0
0.0 + -1p + p2 = 0 + -7.5
-1p + p2 = 0 + -7.5

Combine like terms: 0 + -7.5 = -7.5
-1p + p2 = -7.5

The p term is -1p.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1p + 0.25 + p2 = -7.5 + 0.25

Reorder the terms:
0.25 + -1p + p2 = -7.5 + 0.25

Combine like terms: -7.5 + 0.25 = -7.25
0.25 + -1p + p2 = -7.25

Factor a perfect square on the left side:
(p + -0.5)(p + -0.5) = -7.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.