2p(p-3)=0

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

Simplifying
2p(p + -3) = 0

Reorder the terms:
2p(-3 + p) = 0
(-3 * 2p + p * 2p) = 0
(-6p + 2p2) = 0

Solving
-6p + 2p2 = 0

Solving for variable 'p'.

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

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

Simplifying
-3 + p = 0

Solving
-3 + p = 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 + p = 0 + 3

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

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

Simplifying
p = 3
Solution
p = {0, 3}