3n^2-11n-874=0

Solution for 3n^2-11n-874=0 equation:

Simplifying
3n2 + -11n + -874 = 0

Reorder the terms:
-874 + -11n + 3n2 = 0

Solving
-874 + -11n + 3n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-46 + -3n)(19 + -1n) = 0

Subproblem 1
Set the factor '(-46 + -3n)' equal to zero and attempt to solve:

Simplifying
-46 + -3n = 0

Solving
-46 + -3n = 0

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

Add '46' to each side of the equation.
-46 + 46 + -3n = 0 + 46

Combine like terms: -46 + 46 = 0
0 + -3n = 0 + 46
-3n = 0 + 46

Combine like terms: 0 + 46 = 46
-3n = 46

Divide each side by '-3'.
n = -15.33333333

Simplifying
n = -15.33333333
Subproblem 2
Set the factor '(19 + -1n)' equal to zero and attempt to solve:

Simplifying
19 + -1n = 0

Solving
19 + -1n = 0

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

Add '-19' to each side of the equation.
19 + -19 + -1n = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -1n = 0 + -19
-1n = 0 + -19

Combine like terms: 0 + -19 = -19
-1n = -19

Divide each side by '-1'.
n = 19

Simplifying
n = 19
Solution
n = {-15.33333333, 19}