5(2p-1)=2(p+3)p

Solution for 5(2p-1)=2(p+3)p equation:

Simplifying
5(2p + -1) = 2(p + 3) * p

Reorder the terms:
5(-1 + 2p) = 2(p + 3) * p
(-1 * 5 + 2p * 5) = 2(p + 3) * p
(-5 + 10p) = 2(p + 3) * p

Reorder the terms:
-5 + 10p = 2(3 + p) * p

Reorder the terms for easier multiplication:
-5 + 10p = 2p(3 + p)
-5 + 10p = (3 * 2p + p * 2p)
-5 + 10p = (6p + 2p2)

Solving
-5 + 10p = 6p + 2p2

Solving for variable 'p'.

Combine like terms: 10p + -6p = 4p
-5 + 4p + -2p2 = 6p + 2p2 + -6p + -2p2

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

Combine like terms: 6p + -6p = 0
-5 + 4p + -2p2 = 0 + 2p2 + -2p2
-5 + 4p + -2p2 = 2p2 + -2p2

Combine like terms: 2p2 + -2p2 = 0
-5 + 4p + -2p2 = 0

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

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

Move the constant term to the right:

Add '-2.5' to each side of the equation.
2.5 + -2p + -2.5 + p2 = 0 + -2.5

Reorder the terms:
2.5 + -2.5 + -2p + p2 = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -2p + p2 = 0 + -2.5
-2p + p2 = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
-2p + p2 = -2.5

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 = -2.5 + 1

Reorder the terms:
1 + -2p + p2 = -2.5 + 1

Combine like terms: -2.5 + 1 = -1.5
1 + -2p + p2 = -1.5

Factor a perfect square on the left side:
(p + -1)(p + -1) = -1.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.