p^3-5p^2=0

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Solution for p^3-5p^2=0 equation: 


Simplifying
p3 + -5p2 = 0

Reorder the terms:
-5p2 + p3 = 0

Solving
-5p2 + p3 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'p2'.
p2(-5 + 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 '(-5 + p)' equal to zero and attempt to solve:

Simplifying
-5 + p = 0

Solving
-5 + p = 0

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

Add '5' to each side of the equation.
-5 + 5 + p = 0 + 5

Combine like terms: -5 + 5 = 0
0 + p = 0 + 5
p = 0 + 5

Combine like terms: 0 + 5 = 5
p = 5

Simplifying
p = 5
Solution
p = {0, 5}

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