3n^2+n-2730=0

Solution for 3n^2+n-2730=0 equation:

Simplifying
3n2 + n + -2730 = 0

Reorder the terms:
-2730 + n + 3n2 = 0

Solving
-2730 + n + 3n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-91 + -3n)(30 + -1n) = 0

Subproblem 1
Set the factor '(-91 + -3n)' equal to zero and attempt to solve:

Simplifying
-91 + -3n = 0

Solving
-91 + -3n = 0

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

Add '91' to each side of the equation.
-91 + 91 + -3n = 0 + 91

Combine like terms: -91 + 91 = 0
0 + -3n = 0 + 91
-3n = 0 + 91

Combine like terms: 0 + 91 = 91
-3n = 91

Divide each side by '-3'.
n = -30.33333333

Simplifying
n = -30.33333333
Subproblem 2
Set the factor '(30 + -1n)' equal to zero and attempt to solve:

Simplifying
30 + -1n = 0

Solving
30 + -1n = 0

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

Add '-30' to each side of the equation.
30 + -30 + -1n = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -1n = 0 + -30
-1n = 0 + -30

Combine like terms: 0 + -30 = -30
-1n = -30

Divide each side by '-1'.
n = 30

Simplifying
n = 30
Solution
n = {-30.33333333, 30}