n^2+3n-4420=0

Solution for n^2+3n-4420=0 equation:

Simplifying
n2 + 3n + -4420 = 0

Reorder the terms:
-4420 + 3n + n2 = 0

Solving
-4420 + 3n + n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-68 + -1n)(65 + -1n) = 0

Subproblem 1
Set the factor '(-68 + -1n)' equal to zero and attempt to solve:

Simplifying
-68 + -1n = 0

Solving
-68 + -1n = 0

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

Add '68' to each side of the equation.
-68 + 68 + -1n = 0 + 68

Combine like terms: -68 + 68 = 0
0 + -1n = 0 + 68
-1n = 0 + 68

Combine like terms: 0 + 68 = 68
-1n = 68

Divide each side by '-1'.
n = -68

Simplifying
n = -68
Subproblem 2
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
Solution
n = {-68, 65}