3p=27p^2

Solution for 3p=27p^2 equation:

Simplifying
3p = 27p2

Solving
3p = 27p2

Solving for variable 'p'.

Combine like terms: 27p2 + -27p2 = 0
3p + -27p2 = 0

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

Ignore the factor 3.
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 + -9p)' equal to zero and attempt to solve:

Simplifying
1 + -9p = 0

Solving
1 + -9p = 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 + -9p = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -9p = 0 + -1
-9p = 0 + -1

Combine like terms: 0 + -1 = -1
-9p = -1

Divide each side by '-9'.
p = 0.1111111111

Simplifying
p = 0.1111111111
Solution
p = {0, 0.1111111111}