27p^2-15p+2=0

Solution for 27p^2-15p+2=0 equation:

Simplifying
27p2 + -15p + 2 = 0

Reorder the terms:
2 + -15p + 27p2 = 0

Solving
2 + -15p + 27p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(2 + -9p)(1 + -3p) = 0

Subproblem 1
Set the factor '(2 + -9p)' equal to zero and attempt to solve:

Simplifying
2 + -9p = 0

Solving
2 + -9p = 0

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

Add '-2' to each side of the equation.
2 + -2 + -9p = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -9p = 0 + -2
-9p = 0 + -2

Combine like terms: 0 + -2 = -2
-9p = -2

Divide each side by '-9'.
p = 0.2222222222

Simplifying
p = 0.2222222222
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 = {0.2222222222, 0.3333333333}