6n^2-19n+14=0

Solution for 6n^2-19n+14=0 equation:

Simplifying
6n2 + -19n + 14 = 0

Reorder the terms:
14 + -19n + 6n2 = 0

Solving
14 + -19n + 6n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(7 + -6n)(2 + -1n) = 0

Subproblem 1
Set the factor '(7 + -6n)' equal to zero and attempt to solve:

Simplifying
7 + -6n = 0

Solving
7 + -6n = 0

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

Add '-7' to each side of the equation.
7 + -7 + -6n = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -6n = 0 + -7
-6n = 0 + -7

Combine like terms: 0 + -7 = -7
-6n = -7

Divide each side by '-6'.
n = 1.166666667

Simplifying
n = 1.166666667
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 = {1.166666667, 2}