8n^2-19n+6=0

Solution for 8n^2-19n+6=0 equation:

Simplifying
8n2 + -19n + 6 = 0

Reorder the terms:
6 + -19n + 8n2 = 0

Solving
6 + -19n + 8n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(3 + -8n)(2 + -1n) = 0

Subproblem 1
Set the factor '(3 + -8n)' equal to zero and attempt to solve:

Simplifying
3 + -8n = 0

Solving
3 + -8n = 0

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

Add '-3' to each side of the equation.
3 + -3 + -8n = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -8n = 0 + -3
-8n = 0 + -3

Combine like terms: 0 + -3 = -3
-8n = -3

Divide each side by '-8'.
n = 0.375

Simplifying
n = 0.375
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 = {0.375, 2}