6n^2+2n-5828=

Solution for 6n^2+2n-5828= equation:

Simplifying
6n2 + 2n + -5828 = 0

Reorder the terms:
-5828 + 2n + 6n2 = 0

Solving
-5828 + 2n + 6n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-2914 + n + 3n2) = 0

Factor a trinomial.
2((-94 + -3n)(31 + -1n)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-94 + -3n)' equal to zero and attempt to solve:

Simplifying
-94 + -3n = 0

Solving
-94 + -3n = 0

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

Add '94' to each side of the equation.
-94 + 94 + -3n = 0 + 94

Combine like terms: -94 + 94 = 0
0 + -3n = 0 + 94
-3n = 0 + 94

Combine like terms: 0 + 94 = 94
-3n = 94

Divide each side by '-3'.
n = -31.33333333

Simplifying
n = -31.33333333
Subproblem 2
Set the factor '(31 + -1n)' equal to zero and attempt to solve:

Simplifying
31 + -1n = 0

Solving
31 + -1n = 0

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

Add '-31' to each side of the equation.
31 + -31 + -1n = 0 + -31

Combine like terms: 31 + -31 = 0
0 + -1n = 0 + -31
-1n = 0 + -31

Combine like terms: 0 + -31 = -31
-1n = -31

Divide each side by '-1'.
n = 31

Simplifying
n = 31
Solution
n = {-31.33333333, 31}