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

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

Simplifying
2p(p + 2) + -3(2p + -3) = 0

Reorder the terms:
2p(2 + p) + -3(2p + -3) = 0
(2 * 2p + p * 2p) + -3(2p + -3) = 0
(4p + 2p2) + -3(2p + -3) = 0

Reorder the terms:
4p + 2p2 + -3(-3 + 2p) = 0
4p + 2p2 + (-3 * -3 + 2p * -3) = 0
4p + 2p2 + (9 + -6p) = 0

Reorder the terms:
9 + 4p + -6p + 2p2 = 0

Combine like terms: 4p + -6p = -2p
9 + -2p + 2p2 = 0

Solving
9 + -2p + 2p2 = 0

Solving for variable 'p'.

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

Divide each side by '2'.
4.5 + -1p + p2 = 0

Move the constant term to the right:

Add '-4.5' to each side of the equation.
4.5 + -1p + -4.5 + p2 = 0 + -4.5

Reorder the terms:
4.5 + -4.5 + -1p + p2 = 0 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + -1p + p2 = 0 + -4.5
-1p + p2 = 0 + -4.5

Combine like terms: 0 + -4.5 = -4.5
-1p + p2 = -4.5

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 = -4.5 + 0.25

Reorder the terms:
0.25 + -1p + p2 = -4.5 + 0.25

Combine like terms: -4.5 + 0.25 = -4.25
0.25 + -1p + p2 = -4.25

Factor a perfect square on the left side:
(p + -0.5)(p + -0.5) = -4.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.