p(p-6)=0

Solution for p(p-6)=0 equation:

Simplifying
p(p + -6) = 0

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

Solving
-6p + p2 = 0

Solving for variable 'p'.

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

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 '(-6 + p)' equal to zero and attempt to solve:

Simplifying
-6 + p = 0

Solving
-6 + p = 0

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

Add '6' to each side of the equation.
-6 + 6 + p = 0 + 6

Combine like terms: -6 + 6 = 0
0 + p = 0 + 6
p = 0 + 6

Combine like terms: 0 + 6 = 6
p = 6

Simplifying
p = 6
Solution
p = {0, 6}