p^2-16p+144=0

Solution for p^2-16p+144=0 equation:

Simplifying
p2 + -16p + 144 = 0

Reorder the terms:
144 + -16p + p2 = 0

Solving
144 + -16p + p2 = 0

Solving for variable 'p'.

Begin completing the square.

Move the constant term to the right:

Add '-144' to each side of the equation.
144 + -16p + -144 + p2 = 0 + -144

Reorder the terms:
144 + -144 + -16p + p2 = 0 + -144

Combine like terms: 144 + -144 = 0
0 + -16p + p2 = 0 + -144
-16p + p2 = 0 + -144

Combine like terms: 0 + -144 = -144
-16p + p2 = -144

The p term is -16p.  Take half its coefficient (-8).
Square it (64) and add it to both sides.

Add '64' to each side of the equation.
-16p + 64 + p2 = -144 + 64

Reorder the terms:
64 + -16p + p2 = -144 + 64

Combine like terms: -144 + 64 = -80
64 + -16p + p2 = -80

Factor a perfect square on the left side:
(p + -8)(p + -8) = -80

Can't calculate square root of the right side.

The solution to this equation could not be determined.