0=p(3+2p)

Solution for 0=p(3+2p) equation:

Simplifying
0 = p(3 + 2p)
0 = (3 * p + 2p * p)
0 = (3p + 2p2)

Solving
0 = 3p + 2p2

Solving for variable 'p'.
Remove the zero:
-3p + -2p2 = 3p + 2p2 + -3p + -2p2

Reorder the terms:
-3p + -2p2 = 3p + -3p + 2p2 + -2p2

Combine like terms: 3p + -3p = 0
-3p + -2p2 = 0 + 2p2 + -2p2
-3p + -2p2 = 2p2 + -2p2

Combine like terms: 2p2 + -2p2 = 0
-3p + -2p2 = 0

Factor out the Greatest Common Factor (GCF), '-1p'.
-1p(3 + 2p) = 0

Ignore the factor -1.
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 '(3 + 2p)' equal to zero and attempt to solve:

Simplifying
3 + 2p = 0

Solving
3 + 2p = 0

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

Add '-3' to each side of the equation.
3 + -3 + 2p = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2p = 0 + -3
2p = 0 + -3

Combine like terms: 0 + -3 = -3
2p = -3

Divide each side by '2'.
p = -1.5

Simplifying
p = -1.5
Solution
p = {0, -1.5}