p^2-18p-144=0

Solution for p^2-18p-144=0 equation:

Simplifying
p2 + -18p + -144 = 0

Reorder the terms:
-144 + -18p + p2 = 0

Solving
-144 + -18p + p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-6 + -1p)(24 + -1p) = 0

Subproblem 1
Set the factor '(-6 + -1p)' equal to zero and attempt to solve:

Simplifying
-6 + -1p = 0

Solving
-6 + -1p = 0

Move all terms containing p to the left, all other terms to the right.

Add '6' to each side of the equation.
-6 + 6 + -1p = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1p = 0 + 6
-1p = 0 + 6

Combine like terms: 0 + 6 = 6
-1p = 6

Divide each side by '-1'.
p = -6

Simplifying
p = -6
Subproblem 2
Set the factor '(24 + -1p)' equal to zero and attempt to solve:

Simplifying
24 + -1p = 0

Solving
24 + -1p = 0

Move all terms containing p to the left, all other terms to the right.

Add '-24' to each side of the equation.
24 + -24 + -1p = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -1p = 0 + -24
-1p = 0 + -24

Combine like terms: 0 + -24 = -24
-1p = -24

Divide each side by '-1'.
p = 24

Simplifying
p = 24
Solution
p = {-6, 24}