Simplifying
3p2 + -12p + 63 = 0

Reorder the terms:
63 + -12p + 3p2 = 0

Solving
63 + -12p + 3p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '3'.
3(21 + -4p + p2) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(21 + -4p + p2)' equal to zero and attempt to solve:

Simplifying
21 + -4p + p2 = 0

Solving
21 + -4p + p2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-21' to each side of the equation.
21 + -4p + -21 + p2 = 0 + -21

Reorder the terms:
21 + -21 + -4p + p2 = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -4p + p2 = 0 + -21
-4p + p2 = 0 + -21

Combine like terms: 0 + -21 = -21
-4p + p2 = -21

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 = -21 + 4

Reorder the terms:
4 + -4p + p2 = -21 + 4

Combine like terms: -21 + 4 = -17
4 + -4p + p2 = -17

Factor a perfect square on the left side:
(p + -2)(p + -2) = -17

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.