(p)*(p)-24p=-156

Solution for (p)*(p)-24p=-156 equation:

Simplifying
(p)(p) + -24p = -156

Multiply p * p
p2 + -24p = -156

Reorder the terms:
-24p + p2 = -156

Solving
-24p + p2 = -156

Solving for variable 'p'.

Reorder the terms:
156 + -24p + p2 = -156 + 156

Combine like terms: -156 + 156 = 0
156 + -24p + p2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-156' to each side of the equation.
156 + -24p + -156 + p2 = 0 + -156

Reorder the terms:
156 + -156 + -24p + p2 = 0 + -156

Combine like terms: 156 + -156 = 0
0 + -24p + p2 = 0 + -156
-24p + p2 = 0 + -156

Combine like terms: 0 + -156 = -156
-24p + p2 = -156

The p term is -24p.  Take half its coefficient (-12).
Square it (144) and add it to both sides.

Add '144' to each side of the equation.
-24p + 144 + p2 = -156 + 144

Reorder the terms:
144 + -24p + p2 = -156 + 144

Combine like terms: -156 + 144 = -12
144 + -24p + p2 = -12

Factor a perfect square on the left side:
(p + -12)(p + -12) = -12

Can't calculate square root of the right side.

The solution to this equation could not be determined.