p^2(3p-1)=

Solution for p^2(3p-1)= equation:

Simplifying
p2(3p + -1) = 0

Reorder the terms:
p2(-1 + 3p) = 0
(-1 * p2 + 3p * p2) = 0
(-1p2 + 3p3) = 0

Solving
-1p2 + 3p3 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'p2'.
p2(-1 + 3p) = 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 '(-1 + 3p)' equal to zero and attempt to solve:

Simplifying
-1 + 3p = 0

Solving
-1 + 3p = 0

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

Add '1' to each side of the equation.
-1 + 1 + 3p = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 3p = 0 + 1
3p = 0 + 1

Combine like terms: 0 + 1 = 1
3p = 1

Divide each side by '3'.
p = 0.3333333333

Simplifying
p = 0.3333333333
Solution
p = {0, 0.3333333333}