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

Subproblem 1
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
Subproblem 2
Set the factor '(2 + -3p)' equal to zero and attempt to solve:

Simplifying
2 + -3p = 0

Solving
2 + -3p = 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 + -3p = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3p = 0 + -2
-3p = 0 + -2

Combine like terms: 0 + -2 = -2
-3p = -2

Divide each side by '-3'.
p = 0.6666666667

Simplifying
p = 0.6666666667
Solution
p = {-0.1111111111, 0.6666666667}