5p^2-10p=-48

Solution for 5p^2-10p=-48 equation:

Simplifying
5p2 + -10p = -48

Reorder the terms:
-10p + 5p2 = -48

Solving
-10p + 5p2 = -48

Solving for variable 'p'.

Reorder the terms:
48 + -10p + 5p2 = -48 + 48

Combine like terms: -48 + 48 = 0
48 + -10p + 5p2 = 0

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

Divide each side by '5'.
9.6 + -2p + p2 = 0

Move the constant term to the right:

Add '-9.6' to each side of the equation.
9.6 + -2p + -9.6 + p2 = 0 + -9.6

Reorder the terms:
9.6 + -9.6 + -2p + p2 = 0 + -9.6

Combine like terms: 9.6 + -9.6 = 0.0
0.0 + -2p + p2 = 0 + -9.6
-2p + p2 = 0 + -9.6

Combine like terms: 0 + -9.6 = -9.6
-2p + p2 = -9.6

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 = -9.6 + 1

Reorder the terms:
1 + -2p + p2 = -9.6 + 1

Combine like terms: -9.6 + 1 = -8.6
1 + -2p + p2 = -8.6

Factor a perfect square on the left side:
(p + -1)(p + -1) = -8.6

Can't calculate square root of the right side.

The solution to this equation could not be determined.