3n^2+7n-110=0

Solution for 3n^2+7n-110=0 equation:

Simplifying
3n2 + 7n + -110 = 0

Reorder the terms:
-110 + 7n + 3n2 = 0

Solving
-110 + 7n + 3n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-22 + -3n)(5 + -1n) = 0

Subproblem 1
Set the factor '(-22 + -3n)' equal to zero and attempt to solve:

Simplifying
-22 + -3n = 0

Solving
-22 + -3n = 0

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

Add '22' to each side of the equation.
-22 + 22 + -3n = 0 + 22

Combine like terms: -22 + 22 = 0
0 + -3n = 0 + 22
-3n = 0 + 22

Combine like terms: 0 + 22 = 22
-3n = 22

Divide each side by '-3'.
n = -7.333333333

Simplifying
n = -7.333333333
Subproblem 2
Set the factor '(5 + -1n)' equal to zero and attempt to solve:

Simplifying
5 + -1n = 0

Solving
5 + -1n = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1n = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1n = 0 + -5
-1n = 0 + -5

Combine like terms: 0 + -5 = -5
-1n = -5

Divide each side by '-1'.
n = 5

Simplifying
n = 5
Solution
n = {-7.333333333, 5}