3n^2+7n-880=0

Solution for 3n^2+7n-880=0 equation:

Simplifying
3n2 + 7n + -880 = 0

Reorder the terms:
-880 + 7n + 3n2 = 0

Solving
-880 + 7n + 3n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-55 + -3n)(16 + -1n) = 0

Subproblem 1
Set the factor '(-55 + -3n)' equal to zero and attempt to solve:

Simplifying
-55 + -3n = 0

Solving
-55 + -3n = 0

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

Add '55' to each side of the equation.
-55 + 55 + -3n = 0 + 55

Combine like terms: -55 + 55 = 0
0 + -3n = 0 + 55
-3n = 0 + 55

Combine like terms: 0 + 55 = 55
-3n = 55

Divide each side by '-3'.
n = -18.33333333

Simplifying
n = -18.33333333
Subproblem 2
Set the factor '(16 + -1n)' equal to zero and attempt to solve:

Simplifying
16 + -1n = 0

Solving
16 + -1n = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1n = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1n = 0 + -16
-1n = 0 + -16

Combine like terms: 0 + -16 = -16
-1n = -16

Divide each side by '-1'.
n = 16

Simplifying
n = 16
Solution
n = {-18.33333333, 16}