n^2+7n-330=0

Solution for n^2+7n-330=0 equation:

Simplifying
n2 + 7n + -330 = 0

Reorder the terms:
-330 + 7n + n2 = 0

Solving
-330 + 7n + n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-22 + -1n)(15 + -1n) = 0

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

Simplifying
-22 + -1n = 0

Solving
-22 + -1n = 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 + -1n = 0 + 22

Combine like terms: -22 + 22 = 0
0 + -1n = 0 + 22
-1n = 0 + 22

Combine like terms: 0 + 22 = 22
-1n = 22

Divide each side by '-1'.
n = -22

Simplifying
n = -22
Subproblem 2
Set the factor '(15 + -1n)' equal to zero and attempt to solve:

Simplifying
15 + -1n = 0

Solving
15 + -1n = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1n = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1n = 0 + -15
-1n = 0 + -15

Combine like terms: 0 + -15 = -15
-1n = -15

Divide each side by '-1'.
n = 15

Simplifying
n = 15
Solution
n = {-22, 15}