4n^2-18n-630=0

Solution for 4n^2-18n-630=0 equation:

Simplifying
4n2 + -18n + -630 = 0

Reorder the terms:
-630 + -18n + 4n2 = 0

Solving
-630 + -18n + 4n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-315 + -9n + 2n2) = 0

Factor a trinomial.
2((-21 + -2n)(15 + -1n)) = 0

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

Simplifying
-21 + -2n = 0

Solving
-21 + -2n = 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 + -2n = 0 + 21

Combine like terms: -21 + 21 = 0
0 + -2n = 0 + 21
-2n = 0 + 21

Combine like terms: 0 + 21 = 21
-2n = 21

Divide each side by '-2'.
n = -10.5

Simplifying
n = -10.5
Subproblem 2
Set the factor '(15 + -1n)' equal to zero and attempt to solve:

Simplifying
15 + -1n = 0

Solving
15 + -1n = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1n = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1n = 0 + -15
-1n = 0 + -15

Combine like terms: 0 + -15 = -15
-1n = -15

Divide each side by '-1'.
n = 15

Simplifying
n = 15
Solution
n = {-10.5, 15}