(p+3)(p-4)=p(2p-5)

Solution for (p+3)(p-4)=p(2p-5) equation:

Simplifying
(p + 3)(p + -4) = p(2p + -5)

Reorder the terms:
(3 + p)(p + -4) = p(2p + -5)

Reorder the terms:
(3 + p)(-4 + p) = p(2p + -5)

Multiply (3 + p) * (-4 + p)
(3(-4 + p) + p(-4 + p)) = p(2p + -5)
((-4 * 3 + p * 3) + p(-4 + p)) = p(2p + -5)
((-12 + 3p) + p(-4 + p)) = p(2p + -5)
(-12 + 3p + (-4 * p + p * p)) = p(2p + -5)
(-12 + 3p + (-4p + p2)) = p(2p + -5)

Combine like terms: 3p + -4p = -1p
(-12 + -1p + p2) = p(2p + -5)

Reorder the terms:
-12 + -1p + p2 = p(-5 + 2p)
-12 + -1p + p2 = (-5 * p + 2p * p)
-12 + -1p + p2 = (-5p + 2p2)

Solving
-12 + -1p + p2 = -5p + 2p2

Solving for variable 'p'.

Reorder the terms:
-12 + -1p + 5p + p2 + -2p2 = -5p + 2p2 + 5p + -2p2

Combine like terms: -1p + 5p = 4p
-12 + 4p + p2 + -2p2 = -5p + 2p2 + 5p + -2p2

Combine like terms: p2 + -2p2 = -1p2
-12 + 4p + -1p2 = -5p + 2p2 + 5p + -2p2

Reorder the terms:
-12 + 4p + -1p2 = -5p + 5p + 2p2 + -2p2

Combine like terms: -5p + 5p = 0
-12 + 4p + -1p2 = 0 + 2p2 + -2p2
-12 + 4p + -1p2 = 2p2 + -2p2

Combine like terms: 2p2 + -2p2 = 0
-12 + 4p + -1p2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
12 + -4p + p2 = 0

Move the constant term to the right:

Add '-12' to each side of the equation.
12 + -4p + -12 + p2 = 0 + -12

Reorder the terms:
12 + -12 + -4p + p2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -4p + p2 = 0 + -12
-4p + p2 = 0 + -12

Combine like terms: 0 + -12 = -12
-4p + p2 = -12

The p term is -4p.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4p + 4 + p2 = -12 + 4

Reorder the terms:
4 + -4p + p2 = -12 + 4

Combine like terms: -12 + 4 = -8
4 + -4p + p2 = -8

Factor a perfect square on the left side:
(p + -2)(p + -2) = -8

Can't calculate square root of the right side.

The solution to this equation could not be determined.