3n^2+6n-1449=0

Solution for 3n^2+6n-1449=0 equation:

Simplifying
3n2 + 6n + -1449 = 0

Reorder the terms:
-1449 + 6n + 3n2 = 0

Solving
-1449 + 6n + 3n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-483 + 2n + n2) = 0

Factor a trinomial.
3((-23 + -1n)(21 + -1n)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-23 + -1n)' equal to zero and attempt to solve:

Simplifying
-23 + -1n = 0

Solving
-23 + -1n = 0

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

Add '23' to each side of the equation.
-23 + 23 + -1n = 0 + 23

Combine like terms: -23 + 23 = 0
0 + -1n = 0 + 23
-1n = 0 + 23

Combine like terms: 0 + 23 = 23
-1n = 23

Divide each side by '-1'.
n = -23

Simplifying
n = -23
Subproblem 2
Set the factor '(21 + -1n)' equal to zero and attempt to solve:

Simplifying
21 + -1n = 0

Solving
21 + -1n = 0

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

Add '-21' to each side of the equation.
21 + -21 + -1n = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -1n = 0 + -21
-1n = 0 + -21

Combine like terms: 0 + -21 = -21
-1n = -21

Divide each side by '-1'.
n = 21

Simplifying
n = 21
Solution
n = {-23, 21}