p^3-144p=0

Solution for p^3-144p=0 equation:

Simplifying
p3 + -144p = 0

Reorder the terms:
-144p + p3 = 0

Solving
-144p + p3 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'p'.
p(-144 + p2) = 0

Factor a difference between two squares.
p((12 + p)(-12 + p)) = 0

Subproblem 1
Set the factor 'p' equal to zero and attempt to solve:

Simplifying
p = 0

Solving
p = 0

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

Simplifying
p = 0
Subproblem 2
Set the factor '(12 + p)' equal to zero and attempt to solve:

Simplifying
12 + p = 0

Solving
12 + p = 0

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

Add '-12' to each side of the equation.
12 + -12 + p = 0 + -12

Combine like terms: 12 + -12 = 0
0 + p = 0 + -12
p = 0 + -12

Combine like terms: 0 + -12 = -12
p = -12

Simplifying
p = -12
Subproblem 3
Set the factor '(-12 + p)' equal to zero and attempt to solve:

Simplifying
-12 + p = 0

Solving
-12 + p = 0

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

Add '12' to each side of the equation.
-12 + 12 + p = 0 + 12

Combine like terms: -12 + 12 = 0
0 + p = 0 + 12
p = 0 + 12

Combine like terms: 0 + 12 = 12
p = 12

Simplifying
p = 12
Solution
p = {0, -12, 12}