0=n^2+n-210

Solution for 0=n^2+n-210 equation:

Simplifying
0 = n2 + n + -210

Reorder the terms:
0 = -210 + n + n2

Solving
0 = -210 + n + n2

Solving for variable 'n'.

Combine like terms: 0 + 210 = 210
210 + -1n + -1n2 = -210 + n + n2 + 210 + -1n + -1n2

Reorder the terms:
210 + -1n + -1n2 = -210 + 210 + n + -1n + n2 + -1n2

Combine like terms: -210 + 210 = 0
210 + -1n + -1n2 = 0 + n + -1n + n2 + -1n2
210 + -1n + -1n2 = n + -1n + n2 + -1n2

Combine like terms: n + -1n = 0
210 + -1n + -1n2 = 0 + n2 + -1n2
210 + -1n + -1n2 = n2 + -1n2

Combine like terms: n2 + -1n2 = 0
210 + -1n + -1n2 = 0

Factor a trinomial.
(14 + -1n)(15 + n) = 0

Subproblem 1
Set the factor '(14 + -1n)' equal to zero and attempt to solve:

Simplifying
14 + -1n = 0

Solving
14 + -1n = 0

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

Add '-14' to each side of the equation.
14 + -14 + -1n = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1n = 0 + -14
-1n = 0 + -14

Combine like terms: 0 + -14 = -14
-1n = -14

Divide each side by '-1'.
n = 14

Simplifying
n = 14
Subproblem 2
Set the factor '(15 + n)' equal to zero and attempt to solve:

Simplifying
15 + n = 0

Solving
15 + n = 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 + n = 0 + -15

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

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

Simplifying
n = -15
Solution
n = {14, -15}