n^2+7n-2340=0

Solution for n^2+7n-2340=0 equation:

Simplifying
n2 + 7n + -2340 = 0

Reorder the terms:
-2340 + 7n + n2 = 0

Solving
-2340 + 7n + n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-52 + -1n)(45 + -1n) = 0

Subproblem 1
Set the factor '(-52 + -1n)' equal to zero and attempt to solve:

Simplifying
-52 + -1n = 0

Solving
-52 + -1n = 0

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

Add '52' to each side of the equation.
-52 + 52 + -1n = 0 + 52

Combine like terms: -52 + 52 = 0
0 + -1n = 0 + 52
-1n = 0 + 52

Combine like terms: 0 + 52 = 52
-1n = 52

Divide each side by '-1'.
n = -52

Simplifying
n = -52
Subproblem 2
Set the factor '(45 + -1n)' equal to zero and attempt to solve:

Simplifying
45 + -1n = 0

Solving
45 + -1n = 0

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

Add '-45' to each side of the equation.
45 + -45 + -1n = 0 + -45

Combine like terms: 45 + -45 = 0
0 + -1n = 0 + -45
-1n = 0 + -45

Combine like terms: 0 + -45 = -45
-1n = -45

Divide each side by '-1'.
n = 45

Simplifying
n = 45
Solution
n = {-52, 45}