2p(3-3p)=

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

Simplifying
2p(3 + -3p) = 0
(3 * 2p + -3p * 2p) = 0
(6p + -6p2) = 0

Solving
6p + -6p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '6p'.
6p(1 + -1p) = 0

Ignore the factor 6.
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 '(1 + -1p)' equal to zero and attempt to solve:

Simplifying
1 + -1p = 0

Solving
1 + -1p = 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 + -1p = 0 + -1

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

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

Divide each side by '-1'.
p = 1

Simplifying
p = 1
Solution
p = {0, 1}