9n^2-19n+2=0

Solution for 9n^2-19n+2=0 equation:

Simplifying
9n2 + -19n + 2 = 0

Reorder the terms:
2 + -19n + 9n2 = 0

Solving
2 + -19n + 9n2 = 0

Solving for variable 'n'.

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

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

Simplifying
1 + -9n = 0

Solving
1 + -9n = 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 + -9n = 0 + -1

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

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

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

Simplifying
n = 0.1111111111
Subproblem 2
Set the factor '(2 + -1n)' equal to zero and attempt to solve:

Simplifying
2 + -1n = 0

Solving
2 + -1n = 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 + -1n = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1n = 0 + -2
-1n = 0 + -2

Combine like terms: 0 + -2 = -2
-1n = -2

Divide each side by '-1'.
n = 2

Simplifying
n = 2
Solution
n = {0.1111111111, 2}