0=-15n^2+13n-2

Solution for 0=-15n^2+13n-2 equation:

Simplifying
0 = -15n2 + 13n + -2

Reorder the terms:
0 = -2 + 13n + -15n2

Solving
0 = -2 + 13n + -15n2

Solving for variable 'n'.

Combine like terms: 0 + 2 = 2
2 + -13n + 15n2 = -2 + 13n + -15n2 + 2 + -13n + 15n2

Reorder the terms:
2 + -13n + 15n2 = -2 + 2 + 13n + -13n + -15n2 + 15n2

Combine like terms: -2 + 2 = 0
2 + -13n + 15n2 = 0 + 13n + -13n + -15n2 + 15n2
2 + -13n + 15n2 = 13n + -13n + -15n2 + 15n2

Combine like terms: 13n + -13n = 0
2 + -13n + 15n2 = 0 + -15n2 + 15n2
2 + -13n + 15n2 = -15n2 + 15n2

Combine like terms: -15n2 + 15n2 = 0
2 + -13n + 15n2 = 0

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

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

Simplifying
1 + -5n = 0

Solving
1 + -5n = 0

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

Add '-1' to each side of the equation.
1 + -1 + -5n = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5n = 0 + -1
-5n = 0 + -1

Combine like terms: 0 + -1 = -1
-5n = -1

Divide each side by '-5'.
n = 0.2

Simplifying
n = 0.2
Subproblem 2
Set the factor '(2 + -3n)' equal to zero and attempt to solve:

Simplifying
2 + -3n = 0

Solving
2 + -3n = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3n = 0 + -2

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

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

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

Simplifying
n = 0.6666666667
Solution
n = {0.2, 0.6666666667}