2p^2=-5+2p

Solution for 2p^2=-5+2p equation:

Simplifying
2p2 = -5 + 2p

Solving
2p2 = -5 + 2p

Solving for variable 'p'.

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

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

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

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

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

Divide each side by '2'.
2.5 + -1p + p2 = 0

Move the constant term to the right:

Add '-2.5' to each side of the equation.
2.5 + -1p + -2.5 + p2 = 0 + -2.5

Reorder the terms:
2.5 + -2.5 + -1p + p2 = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -1p + p2 = 0 + -2.5
-1p + p2 = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
-1p + p2 = -2.5

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 = -2.5 + 0.25

Reorder the terms:
0.25 + -1p + p2 = -2.5 + 0.25

Combine like terms: -2.5 + 0.25 = -2.25
0.25 + -1p + p2 = -2.25

Factor a perfect square on the left side:
(p + -0.5)(p + -0.5) = -2.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.