15p^2-11p+2=0

Solution for 15p^2-11p+2=0 equation:

Simplifying
15p2 + -11p + 2 = 0

Reorder the terms:
2 + -11p + 15p2 = 0

Solving
2 + -11p + 15p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(1 + -3p)(2 + -5p) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(2 + -5p)' equal to zero and attempt to solve:

Simplifying
2 + -5p = 0

Solving
2 + -5p = 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 + -5p = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5p = 0 + -2
-5p = 0 + -2

Combine like terms: 0 + -2 = -2
-5p = -2

Divide each side by '-5'.
p = 0.4

Simplifying
p = 0.4
Solution
p = {0.3333333333, 0.4}