p^3=4p^2

Solution for p^3=4p^2 equation:

Simplifying
p3 = 4p2

Solving
p3 = 4p2

Solving for variable 'p'.

Reorder the terms:
-4p2 + p3 = 4p2 + -4p2

Combine like terms: 4p2 + -4p2 = 0
-4p2 + p3 = 0

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

Subproblem 1
Set the factor 'p2' equal to zero and attempt to solve:

Simplifying
p2 = 0

Solving
p2 = 0

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

Simplifying
p2 = 0

Take the square root of each side:
p = {0}
Subproblem 2
Set the factor '(-4 + p)' equal to zero and attempt to solve:

Simplifying
-4 + p = 0

Solving
-4 + p = 0

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

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

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

Combine like terms: 0 + 4 = 4
p = 4

Simplifying
p = 4
Solution
p = {0, 4}