36=-4p(2p-3)

Solution for 36=-4p(2p-3) equation:

Simplifying
36 = -4p(2p + -3)

Reorder the terms:
36 = -4p(-3 + 2p)
36 = (-3 * -4p + 2p * -4p)
36 = (12p + -8p2)

Solving
36 = 12p + -8p2

Solving for variable 'p'.

Reorder the terms:
36 + -12p + 8p2 = 12p + -12p + -8p2 + 8p2

Combine like terms: 12p + -12p = 0
36 + -12p + 8p2 = 0 + -8p2 + 8p2
36 + -12p + 8p2 = -8p2 + 8p2

Combine like terms: -8p2 + 8p2 = 0
36 + -12p + 8p2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(9 + -3p + 2p2) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(9 + -3p + 2p2)' equal to zero and attempt to solve:

Simplifying
9 + -3p + 2p2 = 0

Solving
9 + -3p + 2p2 = 0

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

Divide each side by '2'.
4.5 + -1.5p + p2 = 0

Move the constant term to the right:

Add '-4.5' to each side of the equation.
4.5 + -1.5p + -4.5 + p2 = 0 + -4.5

Reorder the terms:
4.5 + -4.5 + -1.5p + p2 = 0 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + -1.5p + p2 = 0 + -4.5
-1.5p + p2 = 0 + -4.5

Combine like terms: 0 + -4.5 = -4.5
-1.5p + p2 = -4.5

The p term is -1.5p.  Take half its coefficient (-0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
-1.5p + 0.5625 + p2 = -4.5 + 0.5625

Reorder the terms:
0.5625 + -1.5p + p2 = -4.5 + 0.5625

Combine like terms: -4.5 + 0.5625 = -3.9375
0.5625 + -1.5p + p2 = -3.9375

Factor a perfect square on the left side:
(p + -0.75)(p + -0.75) = -3.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.