3n^2+7n-440=0

Solution for 3n^2+7n-440=0 equation:

Simplifying
3n2 + 7n + -440 = 0

Reorder the terms:
-440 + 7n + 3n2 = 0

Solving
-440 + 7n + 3n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-40 + -3n)(11 + -1n) = 0

Subproblem 1
Set the factor '(-40 + -3n)' equal to zero and attempt to solve:

Simplifying
-40 + -3n = 0

Solving
-40 + -3n = 0

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

Add '40' to each side of the equation.
-40 + 40 + -3n = 0 + 40

Combine like terms: -40 + 40 = 0
0 + -3n = 0 + 40
-3n = 0 + 40

Combine like terms: 0 + 40 = 40
-3n = 40

Divide each side by '-3'.
n = -13.33333333

Simplifying
n = -13.33333333
Subproblem 2
Set the factor '(11 + -1n)' equal to zero and attempt to solve:

Simplifying
11 + -1n = 0

Solving
11 + -1n = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1n = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1n = 0 + -11
-1n = 0 + -11

Combine like terms: 0 + -11 = -11
-1n = -11

Divide each side by '-1'.
n = 11

Simplifying
n = 11
Solution
n = {-13.33333333, 11}