2n^2+88n-2730=0

Solution for 2n^2+88n-2730=0 equation:

Simplifying
2n2 + 88n + -2730 = 0

Reorder the terms:
-2730 + 88n + 2n2 = 0

Solving
-2730 + 88n + 2n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-1365 + 44n + n2) = 0

Factor a trinomial.
2((-65 + -1n)(21 + -1n)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-65 + -1n)' equal to zero and attempt to solve:

Simplifying
-65 + -1n = 0

Solving
-65 + -1n = 0

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

Add '65' to each side of the equation.
-65 + 65 + -1n = 0 + 65

Combine like terms: -65 + 65 = 0
0 + -1n = 0 + 65
-1n = 0 + 65

Combine like terms: 0 + 65 = 65
-1n = 65

Divide each side by '-1'.
n = -65

Simplifying
n = -65
Subproblem 2
Set the factor '(21 + -1n)' equal to zero and attempt to solve:

Simplifying
21 + -1n = 0

Solving
21 + -1n = 0

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

Add '-21' to each side of the equation.
21 + -21 + -1n = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -1n = 0 + -21
-1n = 0 + -21

Combine like terms: 0 + -21 = -21
-1n = -21

Divide each side by '-1'.
n = 21

Simplifying
n = 21
Solution
n = {-65, 21}