27p^2-9p=0

Solution for 27p^2-9p=0 equation:

Simplifying
27p2 + -9p = 0

Reorder the terms:
-9p + 27p2 = 0

Solving
-9p + 27p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '9p'.
9p(-1 + 3p) = 0

Ignore the factor 9.
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 + 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}