3n^2+11n-14=0

Solution for 3n^2+11n-14=0 equation:

Simplifying
3n2 + 11n + -14 = 0

Reorder the terms:
-14 + 11n + 3n2 = 0

Solving
-14 + 11n + 3n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-14 + -3n)(1 + -1n) = 0

Subproblem 1
Set the factor '(-14 + -3n)' equal to zero and attempt to solve:

Simplifying
-14 + -3n = 0

Solving
-14 + -3n = 0

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

Add '14' to each side of the equation.
-14 + 14 + -3n = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -3n = 0 + 14
-3n = 0 + 14

Combine like terms: 0 + 14 = 14
-3n = 14

Divide each side by '-3'.
n = -4.666666667

Simplifying
n = -4.666666667
Subproblem 2
Set the factor '(1 + -1n)' equal to zero and attempt to solve:

Simplifying
1 + -1n = 0

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

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

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

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

Simplifying
n = 1
Solution
n = {-4.666666667, 1}